An introduction to groups : a computer illustrated text /
An Introduction to Groups: A Computer Illustrated Text discusses all the concepts necessary for a thorough understanding of group theory. The book covers various theorems, including Lagrange and Sylow. It also details Cayley tables, Burnside's lemma, homomorphisms, and dicyclic groups. The book...
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| Format: | eBook |
| Language: | English |
| Published: |
CRC Press,
2021.
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| Edition: | 1st |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | An Introduction to Groups: A Computer Illustrated Text discusses all the concepts necessary for a thorough understanding of group theory. The book covers various theorems, including Lagrange and Sylow. It also details Cayley tables, Burnside's lemma, homomorphisms, and dicyclic groups. The book is ideal for advanced mathematics students and beginning undergraduates. |
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| Item Description: | PERMUTATIONS, Notation, Products, Identity and Inverses, Order and Cycle Structure, Even and Odd Permutations, GROUPS, Basic Concepts and Notation, Subgroups and Cayley Tables, Cyclic Groups, Subgroups and Generators of Cyclic Groups, Cosets and Lagrange's Theorem, GROUP ACTIONS, Definition and Action Tables, Orbits and Stabilizers, Burnside's Lemma, Further Applications, CONJUGACY, Introduction, Conjugacy Classes, Normal Subgroups, The Sylow Theorems, HOMOMORPHISMS AND QUOTIENT GROUPS, Basic Concepts, Properties, The Kernel, Quotient Groups, An Isomorphism Theorem, CONSTRUCTING GROUPS, Direct Products, Dihedral Groups, Dicyclic Groups, More Constructions. |
| Physical Description: | 1 online resource (90 pages) |
| ISBN: | 9781000673098 100067309X 9780429332401 0429332408 9781000665239 1000665232 9781000657371 100065737X |