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Introduction to Group Theory

Buch | Hardcover
416 Seiten
2020
Chapman & Hall/CRC (Verlag)
978-1-58488-621-1 (ISBN)
CHF 87,25 inkl. MwSt
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Group theory is an important subject that has come a long way. This title presents the fundamentals of both finite and infinite group theory, with a focus on finite groups. It provides students with the ability to prove the Thomas normal p-complement theorem and to classify simple finite groups.
Group theory is an important subject that has come a long way in recent years. Introduction to Group Theory presents the fundamentals of both finite and infinite group theory, with a focus on finite groups. It provides students with the ability to prove the Thomas normal p-complement theorem and to classify simple finite groups. A large portion of the text is devoted to general linear groups. Additional topics covered include the construction of BN pairs, Coexeter groups, Hall–Higham theory, and Bender results. The text also offers an in-depth exploration of the complex relationship between groups, coding, and cryptography.

University College, Oxford, England

Basic Concepts. Permutations and Group Actions. Sylow’s Theorems. Direct and Semidirect Products. Groups with Operators. Soluble Groups. Nilpotent Groups. Transfer and Fusion. Free Groups and Presentations. Coxeter Groups. The General Linear Group. Representation Theory. p-Length Theorems. p-Local Subgroups and Control. The Generalized Fitting and Bender Subgroups.

Erscheint lt. Verlag 15.7.2020
Sprache englisch
Maße 156 x 234 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Graphentheorie
ISBN-10 1-58488-621-8 / 1584886218
ISBN-13 978-1-58488-621-1 / 9781584886211
Zustand Neuware
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