02998nam 22007095 450 991074450710332120240521154953.03-031-21307-610.1007/978-3-031-21307-6(CKB)27451783000041(MiAaPQ)EBC30620504(DE-He213)978-3-031-21307-6(PPN)272269824(MiAaPQ)EBC30613000(Au-PeEL)EBL30613000(EXLCZ)992745178300004120230629d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierGroup Theory /by Dinesh Khattar, Neha Agrawal1st ed. 2023.Cham :Springer International Publishing :Imprint: Springer,2023.1 online resource (334 pages) illustrationsIncludes index.9783031213069 Group -- Finite Groups and Subgroups -- Cyclic Groups -- Permutation Groups -- Cosets and Lagrange’s Theorem -- Normal Subgroups and Factor Groups -- Group Homomorphism and Isomorphism -- Automorphisms -- Direct Products -- Group Actions -- Sylow Theorems.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.MathematicsAlgebraCryptographyData encryption (Computer science)Engineering mathematicsGeneral Mathematics and EducationAlgebraCryptologyEngineering MathematicsTeoria de grupsthubLlibres electrònicsthubMathematics.Algebra.Cryptography.Data encryption (Computer science).Engineering mathematics.General Mathematics and Education.Algebra.Cryptology.Engineering Mathematics.Teoria de grups574512.2Khattar Dinesh1372735Agrawal NehaMiAaPQMiAaPQMiAaPQBOOK9910744507103321Group Theory3567865UNINA