Finite locally groups (20 Ergebnisse)

Paperback. Zustand: Brand New. 38 pages. 11.69x8.50x0.39 inches. In Stock.

Hardcover. Zustand: Sehr gut. Amsterdam, North-Holland (1973). gr.8°. XI, 210 p. OCloth in dust jacket. North-Holland Mathematical Library, 3.- With dedication by Kegel on flyleaf.- In very good condition.

Zustand: Good. Former library copy. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good.

Softcover. Zustand: Gut. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 20 CUR Sprache: Englisch Gewicht in Gramm: 550.…

Zustand: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | Part 2 of the Trilogy "Characterising Locally Finite Groups Satisfying the Strong Sylow Theorem for the Prime p" & "About the Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups" & "The Strong Sylow Theorem for the Prime p in Projective Special Linear Locally Finite Groups" is based on the author's research paper "About the Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups". This beautiful and pioneering manuscript had been submitted to the open access journals Advances in Group Theory and Applications (AGTA) (see [LINK ENTFERNT]) and Science Research Association (SCIREA) Journal of Mathematics (see [LINK ENTFERNT]) but was regrettably rejected by both of them. We first give a profound overview of the structure of simple groups and in particular of the simple locally finite groups and reduces their Sylow theory for the prime p to a famous conjecture of Prof. Otto H. Kegel (see [16], Theorem 2.4: "Let the p-subgroup P be a p-uniqueness subgroup in the finite simple group S which belongs to one of the seven rank-unbounded families. Then the rank of S is bounded in terms of P.") about the rank-unbounded ones of the 19 known families of finite simple groups. Part 2 introduces a new scheme to describe the 19 families, the family T of types, defines the rank of each type, and emphasises the rôle of Kegel covers. This part presents a unified picture of known results all proofs of which are by reference and it is the actual reason why our title starts with "About". We then apply new ideas to prove the conjecture for the alternating groups (see Page ii). Thereupon we are remembering Kegel covers and *-sequences. Finally we suggest a plan how to prove and even how to optimise the conjecture step-by-step or peu à peu which leads to further quite tough conjectures thereby unifying Sylow theory in locally finite simple groups with Sylow theory in locally finite and p-soluble groups. For any unexplained terminology we refer to [6].…

Zustand: New. pp. 320.

Zustand: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar.

Zustand: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | In Part 3 of the Trilogy "Characterising Locally Finite Groups Satisfying the Strong Sylow Theorem for the Prime p" & "About the Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups" & "The Strong Sylow Theorem for the Prime p in Projective Special Linear Locally Finite Groups" we continue the program begun in [10] to optimise along the way 1) its beautiful Theorem about the first type "An" of infinite families of finite simple groups step-by-step to further types by proving it for the second type "A = PSL n". We start with proving the Conjecture 2 of [10] about the General Linear Groups over (commutative) locally finite fields, stating that their rank is bounded in terms of their p-uniqueness, and then break down this insight to the Special Linear Groups and the Projective Special Linear (PSL) Groups over locally finite fields. We close with suggestions for future research regarding the remaining five rank-unbounded types (the "Classical Groups") and the way 2), regarding the (locally) finite and p-soluble groups, and regarding Augustin-Louis Cauchy's and Évariste Galois' contributions to Sylow theory in finite groups.…

Zustand: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | Part 2 of the Trilogy "Characterising Locally Finite Groups Satisfying the Strong Sylow Theorem for the Prime p" & "About the Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups" & "The Strong Sylow Theorem for the Prime p in Projective Special Linear Locally Finite Groups" is based on the author's research paper "About the Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups". This very beautiful and pioneering manuscript had been submitted for peer reviewing to the open access journals Advances in Group Theory and Applications (AGTA) (see [LINK ENTFERNT] journal/) and Science Research Association (SCIREA) Journal of Mathematics (see [LINK ENTFERNT] journal/Mathematics) but was very regrettably rejected by both of them (with ridiculous arguments). We first give a profound overview of the structure of simple groups and in particular of the simple locally finite groups and reduce their Sylow theory for the prime p to a famous conjecture of Prof. Otto H. Kegel (see [16], Theorem 2.4: "Let the p-subgroup P be a p-uniqueness subgroup in the finite simple group S which belongs to one of the seven rank-unbounded families. Then the rank of S is bounded in terms of P.") about the rank-unbounded ones of the 19 known families of finite simple groups. Part 2 introduces a new scheme to describe the 19 families, the family T of types, defines the rank of each type, and emphasises the rôle of Kegel covers. This part presents a unified picture of known results all proofs of which are by reference and it is the actual reason why our title starts with "About". We then apply beautiful new ideas to prove the conjecture for the alternating groups (see Page ii). Thereupon we are remembering Kegel covers and *-sequences. Finally we suggest a plan how to prove and even how to optimise the conjecture step-by-step or peu à peu which leads to further quite tough conjectures thereby unifying Sylow theory in locally finite simple groups with Sylow theory in locally finite and p-soluble groups. For any unexplained terminology we refer to [6].…

Hardcover. Zustand: Very Good. No Jacket. Former library book; Missing dust jacket; May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less.

Leinen. Zustand: gut. First Printing. Fadengehefteter Ganzleineneinband mit goldgeprägtem Rückentitel, Deckelprägung und Schutzumschlag. Der Umschlag leicht nachgedunkelt, dezent berieben und vereinzelt mit kleinem Knickchen, der untere Rand von Umschlag und Buchblock mit leichter Stauchung, ansonsten rundum guter Erhaltungszustand. "The principle aim of this bookis to provide a unified account of some of the deep structure theorems proved recently for various types of locally finite groups. Much of the material presented has only previously been available in research journals. The first chapter is devoted to the basic methods, concepts and examples of finite group theory for the benefit of readers who are not already familiar with the subject. Centralizers and abelian subgroups in locally finite groups form the subject of another chapter followed by a study of locally finite groups satisfying the minimal condition for p-subgroups, p a prime, as they are important to our knowledge of locally finite groups. (Up to this point only the most rudimentary facts about finite groups have been used, except for occasional reference to the Feit-Thompson theorem.) Chapter 4 deals with simple groups to locally finite groups; these results are fully stated, but not proven here. With these powerful tools at hand, some deep and useful characterizations of the groups PSL [s,F] for locally finite fields F of odd characteristic are proven. These rules are the fundamental tools for classifying locally finite groups satisfying various minimality conditions. ln particular it is shown that a locally finite group satisfying the minimal condition for subgroups has an abelian normal subgroup of finite index. The final chapter gives a brief account of the properties of the universal locally finite groups constructed by P. Hall. This book could be used at advanced undergraduate level or as a text for a graduate level course introducing infinite (periodic) groups. The latter parts, however, require a deeper knowledge of finite groups." (Verlagstext) Otto Helmut Kegel (* 20. Juli 1934 in Bethlehem (Pennsylvania)) ist ein deutscher Mathematiker, der sich mit Gruppentheorie beschäftigt. Kegel machte 1954 in Frankfurt am Main sein Abitur und wurde 1961 an der Johann-Wolfgang-Goethe-Universität Frankfurt am Main bei Reinhold Baer promoviert (Vertauschbarkeit von Untergruppen und Kompositionsstruktur in endlichen Gruppen). 1966 habilitierte er sich in Frankfurt. 1967 war er Dozent an der Universität zu Köln und 1968 Reader an der Universität London und 1970 Professor. Ab 1975 war er ordentlicher Professor an der Albert-Ludwigs-Universität Freiburg. 1999 wurde er emeritiert. Er war 1975 bis 1989 Mitherausgeber des Archivs für Mathematik, 1970 bis 1972 des Journal und der Proceedings der London Mathematical Society, 1974 bis 1985 der Communications in Algebra und 1978 bis 1985 der Mathematischen Zeitschrift. 1962 hielt er einen Vortrag auf dem Internationalen Mathematikerkongress in Stockholm (Locally finite groups with a partition). (Wikipedia) In englischer Sprache. XI, (I), 210, (2) pages. Groß 8° (162 x 228mm). …

Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | Part 1 of the Trilogy "Characterising Locally Finite Groups Satisfying the Strong Sylow Theorem for the Prime p" & "About the Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups" & "The Strong Sylow Theorem for the Prime p in Projective Special Linear Locally Finite Groups" is based on the beauteous BoD-Book "Characterising locally finite groups satisfying the strong Sylow Theorem for the prime p - Revised edition" (see ISBN 978-3-7562-3416-5) which in turn has been based on the author's research paper "Characterising Locally Finite Groups Satisfying the Strong Sylow Theorem for the Prime p" that was published on pp. 13-39 of Volume 13 of the gratifyingly open access mathematical journal Advances in Group Theory and Applications (AGTA) (see [LINK ENTFERNT] journal/#read). Part 1 removes the highlights in light green of the Revised edition and adds the albeit considerably improved Pages i to vi, Pages 26a to 26f, and Pages xiii to xviii to the AGTA paper. In addition it adds the ten new Pages xv to xxiv to the Revised edition and thus renumbers the Pages xv to xviii into the Pages xxv to xxviii. It includes Reference [11] as Appendix 1 and Reference [10] as Appendix 2. Finally it calls to mind Prof. Otto H. Kegel's fine contribution to the conference Ischia Group Theory 2016.…

Zustand: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar.

Zustand: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | Part 1 of the Trilogy "Characterising Locally Finite Groups Satisfying the Strong Sylow Theorem for the Prime p" & "About the Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups" & "The Strong Sylow Theorem for the Prime p in Projective Special Linear Locally Finite Groups" is based on the beauteous BoD-Book "Characterising locally finite groups satisfying the strong Sylow Theorem for the prime p - Revised edition" (see ISBN 978-3-7562-3416-5) which in turn has been based on the author's research paper "Characterising Locally Finite Groups Satisfying the Strong Sylow Theorem for the Prime p" that was published on pp. 13-39 of Volume 13 of the open access mathematical journal Advances in Group Theory and Applications (AGTA) (look at [LINK ENTFERNT]). The First edition of Part 1 (see ISBN 978-3-7543-6087-3) removes the highlights in light green of the Revised edition and adds the albeit fairly considerably improved Pages i to vi and Pages 27 to 34 to the AGTA paper. In addition Part 1 adds the ten new Pages 35 to 44 to the Revised edition and therefore has to renumber the Pages xv to xviii into the Pages 45 to 48. It includes the Reference [11] as Appendix 1 and the Reference [10] as Appendix 2. Finally it calls to mind Professor Otto H. Kegel's fine contribution to the conference Ischia Group Theory 2016.The Second edition introduces a uniform page numbering, adds page numbers to the appendices, improves Pages iv and v, Page 22, Pages 26 to 34 and Pages 39, 45, 49, 50, 75, 76, 105 and 106, adds Pages 109 to 112, and adds a two-page Table of Contents of the Trilogy. For a review of the trilogy see [16].…

Zustand: Gut. Zustand: Gut | Seiten: 50 | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar.

Hardcover. Zustand: gut. 1973. Locally Finite Groups. (= Reihe: North-Holland Mathematical Library, Volume 3). Erstausgabe. In englischer Sprache. pages.

Zustand: New. In English.

Zustand: New. In English.

Hardcover. Zustand: Brand New. 1st edition. 470 pages. 9.50x6.50x1.30 inches. In Stock.

Zustand: New. Proceedings of the NATO Advanced Study Institute, Istanbul, Turkey, 14--27 August 1994 Editor(s): Hartley, B.; Seitz, G. M. (Dept. of Mathematics); Borovik, A.V.; Bryant, R. M. Series: NATO Science Series C. Num Pages: 458 pages, biography. BIC Classification: PBG. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 25. Weight in Grams: 835. . 1995. Hardback. . . . . Books ship from the US and Ireland. …