9780521101028 - 3-transposition groups (cambridge tracts in mathematics, 124, band 124) von aschbacher, michael (3 Ergebnisse)
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Anbieter: ANTIQUARIAT Franke BRUDDENBOOKS, Lübeck, DeutschlandANTIQUARIAT Franke BRUDDENBOOKS
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Broschiert, Gr.-8°. Zustand: Sehr gut. 1. 272 S. Das Buch ist in sehr gutem, sauberen Zustand. Ecken und Kanten leicht bestossen. Sonst sauberes und wohlerhaltenes Exemplar. -----Inhalt. The theory of 3-transposition groups has become an important part of finite simple group theory. This book contains the first complete publishe…d proof of Fischer's Theorem on the classification of these groups. Part I is accessible to graduate students in finite groups while Parts II and III are aimed at specialists.In 1970 Bernd Fischer proved his beautiful theorem classifying the almost simple groups generated by 3-transpositions, and in the process discovered three new sporadic groups, now known as the Fischer groups. Since then, the theory of 3-transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3-Transposition Groups contains the first published proof of Fischer's Theorem, written out completely in one place. Fischer's result, while important and deep (covering a number of complex examples), can be understood by any student with some knowledge of elementary group theory and finite geometry. Thus Part I has minimal prerequisites and could be used as a text for an intermediate level graduate course. Parts II and III are aimed at specialists in finite groups and are a step in the author's program to supply a strong foundation for the theory of sporadic groups. Part I. Fischer's Theorem: 1. Preliminaries; 2. Commuting graphs of groups; 3. The structure of 3-transposition groups; 4. Classical groups generated by 3-transpositions; 5. Fischer's theorem; 6. The geometry of 3-transposition groups; Part II. Existence and Uniquenesss Of The Fischer Groups: 7. Some group extensions; 8. Almost 3-transposition groups; 9. Uniqueness systems and coverings of graphs; 10. U4 (3) as a subgroup of U6 (2); 11. The existence and uniqueness of the Fischer groups; Part III. The Local Structure Of The Fischer Groups: 12. The 2-local structure of the Fischer groups; 13. Elements of order 3 in orthogonal groups over GF(3); 14. Odd locals in Fischer groups; 15. Normalisers of subgroups of prime order in Fischer groups. ISBN: 9780521101028 Aufgrund neuer EU Verpackungsgesetze können wir zurzeit nicht in EU Länder außer Deutschland liefern, Lieferungen an Grenz Packstationen oder Grenzpaket Anbieter ist weiterhin möglich. Auch Lieferungen in alle Länder außer der EU und Russland sind weiterhin möglich. Due to new EU packaging regulations, we are currently unable to ship to EU countries other than Germany; however, deliveries to border-located parcel lockers or cross-border parcel services remain possible. Shipments to all countries outside the EU and Russia also remain possible. Sprache: Englisch Gewicht in Gramm: 400.
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Zustand: New. Contains the first complete published proof of Fischer's Theorem on the classification of 3-transposition groups. Series: Cambridge Tracts in Mathematics. Num Pages: 272 pages, 3 b/w illus. 3 tables. BIC Classification: PBG. Category: (P) Professional & Vocational. Dimension: 229 x 152 x 16. Weight in Grams: 400. .… 2009. 1st Edition. paperback. . . . . Books ship from the US and Ireland.
