001440889 000__ 02994cam\a2200517\a\4500 001440889 001__ 1440889 001440889 003__ OCoLC 001440889 005__ 20230309004708.0 001440889 006__ m\\\\\o\\d\\\\\\\\ 001440889 007__ cr\un\nnnunnun 001440889 008__ 211114s2021\\\\si\\\\\\ob\\\\001\0\eng\d 001440889 019__ $$a1285274062$$a1285785245$$a1294349608 001440889 020__ $$a9789811663659$$q(electronic bk.) 001440889 020__ $$a9811663653$$q(electronic bk.) 001440889 020__ $$z9811663645 001440889 020__ $$z9789811663642 001440889 0247_ $$a10.1007/978-981-16-6365-9$$2doi 001440889 035__ $$aSP(OCoLC)1285253078 001440889 040__ $$aYDX$$beng$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCF$$dOCLCO$$dDCT$$dOCLCQ$$dCOM$$dSFB$$dOCLCO$$dUKAHL$$dOCLCQ 001440889 049__ $$aISEA 001440889 050_4 $$aQA174.2 001440889 08204 $$a512/.2$$223 001440889 1001_ $$aDavvaz, Bijan. 001440889 24512 $$aA first course in group theory /$$cBijan Davvaz. 001440889 260__ $$aSingapore :$$bSpringer,$$c2021. 001440889 300__ $$a1 online resource 001440889 336__ $$atext$$btxt$$2rdacontent 001440889 337__ $$acomputer$$bc$$2rdamedia 001440889 338__ $$aonline resource$$bcr$$2rdacarrier 001440889 347__ $$atext file 001440889 347__ $$bPDF 001440889 504__ $$aIncludes bibliographical references and index. 001440889 5050_ $$aPreliminaries Notions -- Symmetries of Shapes -- Binary Operations -- Cyclic Groups -- Inverse Functions and Permutations -- Group of Arithmetical Functions -- Matrix Groups -- Translation and Scaling Matrices -- Cosets of Subgroups and Lagrange's Theorem -- Normal Subgroups and Factor Groups -- Some Special Subgroups -- Commutators and Derived Subgroups -- Maximal Subgroups -- Group Homomorphisms -- Homomorphisms and Their Properties -- Cayley's Theorem -- Another View of Linear Groups. 001440889 506__ $$aAccess limited to authorized users. 001440889 520__ $$aThis textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. Topics on important examples of groups (like cyclic groups, permutation groups, group of arithmetical functions, matrix groups and linear groups), Lagrange's theorem, normal subgroups, factor groups, derived subgroup, homomorphism, isomorphism and automorphism of groups have been discussed in depth. Covering all major topics, this book is targeted to undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader. 001440889 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 22, 2021). 001440889 650_0 $$aGroup theory. 001440889 650_6 $$aThéorie des groupes. 001440889 655_0 $$aElectronic books. 001440889 77608 $$iPrint version:$$aDavvaz, Bijan.$$tFirst course in group theory.$$dSingapore : Springer, 2021$$z9811663645$$z9789811663642$$w(OCoLC)1264719224 001440889 852__ $$bebk 001440889 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-16-6365-9$$zOnline Access$$91397441.1 001440889 909CO $$ooai:library.usi.edu:1440889$$pGLOBAL_SET 001440889 980__ $$aBIB 001440889 980__ $$aEBOOK 001440889 982__ $$aEbook 001440889 983__ $$aOnline 001440889 994__ $$a92$$bISE