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OverviewFull Product DetailsAuthor: Kaiming Zhao , Haijun Tan , Genqiang LiuPublisher: Kendall/Hunt Publishing Co ,U.S. Imprint: Kendall/Hunt Publishing Co ,U.S. Weight: 0.272kg ISBN: 9781792478925ISBN 10: 1792478925 Pages: 277 Publication Date: 30 August 2021 Audience: College/higher education , Tertiary & Higher Education Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsBasic Theory on Groups 1.1 Basic properties of groups 1.2 Groups of permutations 1.3 Isomorphism theorems 1.4 Commutator subgroups and dihedral groups 1.5 Exercises2. Group Actions 2.1 Group action on a set 2.2 Applications of -sets to counting 2.3 Symmetries of the regular polyhedrons 2.4 Simplegroups 2.5 Exercises3. Jordan-Holder Theorem and Sylow Theorems 3.1 Series of groups 3.2 Composition series of groups 3.3 Finite -groups 3.4 Sylowtheorems 3.5 Applications of the Sylow Theorems 3.6 Exercises4. Free Groups 4.1 Free abelian groups 4.2 Freegroups 4.3 Group presentations 4.4 Exercises5. Solvable Groups 5.1 Basic properties of solvable groups 5.2 Finite solvable groups 5.3 Hall subgroups 5.4 Sylow systems and Sylow bases 5.5 Exercises6. Nilpotent Groups 6.1 Basic properties of nilpotent groups 6.2 Frattini subgroups 6.3 Exercises7. Representations of Groups 7.1 Definitions and examples 7.2 Subrepresentations, quotient representations, and homomorphisms 7.3 The methods of constructing representations 7.4 Irreducible representations, completely reducible representations 7.5 Maschke's Theorem 7.6 ExercisesSample Solutions Appendix A: Equivalence Relations and Kuratowski-Zorn Lemma References IndexReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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