Group Theory
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Beschreibung
This textbook focuses on the basics and complex themes of group theory taught to senior undergraduate mathematics students across universities. The contents focus on the properties of groups, subgroups, cyclic groups, permutation groups, cosets and Lagrange’s theorem, normal subgroups and factor groups, group homomorphisms and isomorphisms, automorphisms, direct products, group actions and Sylow theorems. Pedagogical elements such as end of chapter exercises and solved problems are included to help understand abstract notions. Intermediate lemmas are also carefully designed so that they not only serve the theorems but are also valuable independently. The book is a useful reference to undergraduate and graduate students besides academics.
This textbook focuses on the basics and complex themes of group theory taught to senior undergraduate mathematics students across universities. The contents focus on the properties of groups, subgroups, cyclic groups, permutation groups, cosets and Lagrange’s theorem, normal subgroups and factor groups, group homomorphisms and isomorphisms, automorphisms, direct products, group actions and Sylow theorems. Pedagogical elements such as end of chapter exercises and solved problems are included to help understand abstract notions. Intermediate lemmas are also carefully designed so that they not only serve the theorems but are also valuable independently. The book is a useful reference to undergraduate and graduate students besides academics.
Deals with properties of subgroups, Cyclic groups, Permutation groups, Cosets and Lagrange’s Theorem Includes pedagogical elements such as solved problems and end of chapter exercises Covers senior undergraduate mathematics course and meets the curriculum requirements of most universities
Autor*in
Dinesh Khattar
Themen in »Group Theory«
Cayley Table Dihedral Groups Finite Groups. The G/Z Theorem Abelian Group External Direct Product Internal Direct Products P–Groups Sylow p–subgroups