LEADER 02998nam 22007095 450 001 9910744507103321 005 20240521154953.0 010 $a3-031-21307-6 024 7 $a10.1007/978-3-031-21307-6 035 $a(CKB)27451783000041 035 $a(MiAaPQ)EBC30620504 035 $a(DE-He213)978-3-031-21307-6 035 $a(PPN)272269824 035 $a(MiAaPQ)EBC30613000 035 $a(Au-PeEL)EBL30613000 035 $a(EXLCZ)9927451783000041 100 $a20230629d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGroup Theory /$fby Dinesh Khattar, Neha Agrawal 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (334 pages) $cillustrations 300 $aIncludes index. 311 $a9783031213069 327 $aGroup -- 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. 330 $aThis 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. 606 $aMathematics 606 $aAlgebra 606 $aCryptography 606 $aData encryption (Computer science) 606 $aEngineering mathematics 606 $aGeneral Mathematics and Education 606 $aAlgebra 606 $aCryptology 606 $aEngineering Mathematics 606 $aTeoria de grups$2thub 608 $aLlibres electrònics$2thub 615 0$aMathematics. 615 0$aAlgebra. 615 0$aCryptography. 615 0$aData encryption (Computer science). 615 0$aEngineering mathematics. 615 14$aGeneral Mathematics and Education. 615 24$aAlgebra. 615 24$aCryptology. 615 24$aEngineering Mathematics. 615 7$aTeoria de grups 676 $a574 676 $a512.2 700 $aKhattar$b Dinesh$01372735 702 $aAgrawal$b Neha 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910744507103321 996 $aGroup Theory$93567865 997 $aUNINA