Nilpotent groups and their automorphisms

zbMath0795.20018MaRDI QIDQ685985

Publication date: 6 October 1993

Published in: De Gruyter Expositions in Mathematics (Search for Journal in Brave)

regular automorphisms nilpotency class Lie rings derived length powerful $p$-groups automorphisms of prime order Alperin's theorem associated Lie ring automorphisms of prime-power order finite $d$-generator group of prime exponent finite $p$-group Higman's theorem Hughes subgroups Kostrikin's theorem local nilpotency theorem number of fixed points partitions of $p$-groups splitting automorphism variety of $\Omega$-groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Automorphisms of abstract finite groups (20D45) Automorphisms of infinite groups (20E36) Finite nilpotent groups, (p)-groups (20D15) Solvable, nilpotent (super)algebras (17B30) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Associated Lie structures for groups (20F40) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

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