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000858145 019__ $$a1082562137
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000858145 1001_ $$aPassi, Inder Bir S.,$$d1939-$$eauthor.
000858145 24510 $$aAutomorphisms of finite groups /$$cInder Bir Singh Passi, Mahender Singh, Manoj Kumar Yadav.
000858145 264_1 $$aSingapore :$$bSpringer,$$c2018.
000858145 300__ $$a1 online resource.
000858145 336__ $$atext$$btxt$$2rdacontent
000858145 337__ $$acomputer$$bc$$2rdamedia
000858145 338__ $$aonline resource$$bcr$$2rdacarrier
000858145 4901_ $$aSpringer monographs in mathematics,$$x1439-7382
000858145 504__ $$aIncludes bibliographical references and index.
000858145 5050_ $$aIntro; Preface; Acknowledgements; Contents; About the Authors; Notation; 1 Preliminaries on p-Groups; 1.1 Central Series; 1.2 Regular Groups; 1.3 Groups with Large Center; 1.4 Gaschütz's Theorem and Its Generalization; 1.5 Pro-p-Groups; 2 Fundamental Exact Sequence of Wells; 2.1 Cohomology of Groups; 2.2 Group Extensions; 2.3 Action of Cohomology Group on Extensions; 2.4 Action of Automorphism Group on Extensions; 2.5 Action of Automorphism Group on Cohomology; 2.6 Wells Map; 2.7 Wells Exact Sequence; 2.8 Extensions with Trivial Coupling; 2.9 Extension and Lifting of Automorphisms
000858145 5058_ $$a3 Orders of Automorphism Groups of Finite Groups3.1 Schur Multiplier; 3.2 Automorphisms of Finite Abelian Groups; 3.3 Ledermann-Neumann's Theorem; 3.4 Green's Function; 3.5 Howarth's Function; 3.6 Hyde's Function; 4 Groups with Divisibility Property-I; 4.1 Reduction Results; 4.2 Groups of Nilpotency Class 2; 4.3 Groups with Metacyclic Central Quotient; 4.4 Modular Groups; 4.5 p-Abelian Groups; 4.6 Groups with Small Central Quotient; 5 Groups with Divisibility Property-II; 5.1 Groups of Order p7; 5.2 Groups of Coclass 2; 5.3 2-Groups of Fixed Coclass; 5.4 p2-Abelian p-Central Groups
000858145 5058_ $$a5.5 Further Results6 Groups Without Divisibility Property; 6.1 Lie Algebras and Uniform Pro-p-Groups; 6.2 Existence of Groups Without Divisibility Property; References; Index
000858145 506__ $$aAccess limited to authorized users.
000858145 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed January 21, 2019).
000858145 650_0 $$aFinite groups.
000858145 650_0 $$aAutomorphisms.
000858145 7001_ $$aSingh, Mahender,$$eauthor.
000858145 7001_ $$aYadav, Manoj Kumar,$$eauthor.
000858145 77608 $$iPrint version: $$z9811328943$$z9789811328947$$w(OCoLC)1052872605
000858145 830_0 $$aSpringer monographs in mathematics.
000858145 852__ $$bebk
000858145 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-981-13-2895-4$$zOnline Access$$91397441.1
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