Neuware - This book contains surveys and research articles on the state-of-the-art in finitely presented groups for researchers and graduate students. Overviews of current trends in exponential groups and of the classification of finite triangle groups and finite generalized tetrahedron groups are complemented by new results on a conjecture of Rosenberger and an approximation theorem. A special emphasis is on algorithmic techniques and their complexity, both for finitely generated groups and for finite Z-algebras, including explicit computer calculations highlighting important classical methods. A further chapter surveys connections to mathematical logic, in particular to universal theories of various classes of groups, and contains new results on countable elementary free groups. Applications to cryptography include overviews of techniques based on representations of p-groups and of non-commutative group actions. Further applications of finitely generated groups to topology and artificial intelligence complete the volume. All in all, leading experts provide up-to-date overviews and current trends in combinatorial group theory and its connections to cryptography and other areas.

Bestandsnummer des Verk�ufers 9783111473376

Verk�ufer kontaktieren

Diesen Artikel melden

Bibliografische Details

Titel: Finitely Presented Groups : With Applications in Post-Quantum Cryptography and Artificial Intelligence
Verlag: De Gruyter
Ver�ffentlichungsdatum: 2024
Sprache: Englisch
ISBN-10: 3111473376
ISBN-13: 9783111473376
Bindung: Buch
Zustand: Neu

�ber diesen Titel

Inhaltsangabe

This book contains surveys and research articles on the state-of-the-art in finitely presented groups for researchers and graduate students. Overviews of current trends in exponential groups and of the classification of finite triangle groups and finite generalized tetrahedron groups are complemented by new results on a conjecture of Rosenberger and an approximation theorem. A special emphasis is on algorithmic techniques and their complexity, both for finitely generated groups and for finite Z-algebras, including explicit computer calculations highlighting important classical methods. A further chapter surveys connections to mathematical logic, in particular to universal theories of various classes of groups, and contains new results on countable elementary free groups. Applications to cryptography include overviews of techniques based on representations of p-groups and of non-commutative group actions. Further applications of finitely generated groups to topology and artificial intelligence complete the volume. All in all, leading experts provide up-to-date overviews and current trends in combinatorial group theory and its connections to cryptography and other areas.

�ber die Autorin bzw. den Autor

Volker Diekert studied in Hamburg with Ernst Witt and in Montpellier with Alexander Grothendieck. He earned his PhD in algebraic number theory in Regensburg under direction of J�rgen Neukirch and received his habilitation in Munich. Since 1991 he held the Chair for Theoretical Informatics at the University of Stuttgart until his retirement in 2023. His main research areas are algebraic foundations of computer science and algorithmic aspects of combinatorial group theory. He is coauthor of the textbooks "Elements of Discrete Mathematics" and "Discrete Algebraic Methods" and coeditor of the "Book of Traces" which became a standard for algebraic concurrency theory.

Martin Kreuzer received his doctoral degree and his habilitation in algebraic geometry at the University of Regensburg under the guidance of Ernst Kunz. Since 2007 he has held the Chair of Symbolic Computation at the University of Passau. His main research areas are computer algebra, commutative algebra, and algebraic geometry, together with their applications to cryptography, algebraic logic, coding theory, and industrial mathematics.
He is a coauthor of a fundamental three volume monograph on "Computational Commutative Algebra" and several other books. Together with Gerhard Rosenberger, he has been working on algorithmic aspects of group theory, mainly using non-commutative Gr�bner bases, the cryptoanalysis of group-based cryptosystems, and the monograph "A Course in Mathematical Cryptography".

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Anbieterinformationen

Das Unternehmen AHA-BUCH GmbH: Seit der Gr�ndung von AHA-BUCH im Juli 2005 ist unser Hauptziel, zufriedenen Kunden so schnell und so preisg�nstig wie m�glich ihren B�cherwunsch zu erf�llen. Unsere Firma besch�ftigt 16 Mitarbeiter, die nur ein Ziel kennen: den Kunden und seine W�nsche! Auf �ber 3700 m2 Fl�che haben wir �ber 100.000 B�cher, Modernes Antiquariat und Spiele auf Lager.

Zur Homepage des Verk�ufers

Unternehmensdaten des Verk�ufers

AHA-BUCH GmbH
Garlebsen 48, Einbeck, 37574, Germany

Gesch�ftsbedingungen und Versandinformationen

Verkaufsbedingungen

Allgemeine Gesch�ftsbedingungen und Kundeninformationen / Datenschutzerkl�rung

I. Allgemeine Gesch�ftsbedingungen

� 1 Grundlegende Bestimmungen

(1) Die nachstehenden Gesch�ftsbedingungen gelten f�r alle Vertr�ge, die Sie mit uns als Anbieter (AHA-BUCH GmbH) �ber die Internetplattformen AbeBooks und/oder ZVAB schlie�en. Soweit nicht anders vereinbart, wird der Einbeziehung gegebenenfalls von Ihnen verwendeter eigener Bedingungen widersprochen.

(2) Verbraucher im Sinne der nachstehenden Regelungen...

Mehr Information

Versandbedingungen

Wir liefern Lagerartikel innerhalb von 24 Stunden nach Erhalt der Bestellung aus.
Barsortimentsartikel, die wir �ber Nacht geliefert bekommen, am darauffolgenden Werktag.
Unser Ziel ist es Ihnen die Artikel in der �konomischten und effizientesten Weise zu senden.

Impressum & Info zum Verk�ufer