On finite loops whose inner mapping groups are Abelian

DOI10.1017/S0004972700020529zbMath1012.20068OpenAlexW4235798200MaRDI QIDQ3149464

Markku Niemenmaa

Publication date: 4 June 2003

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700020529

zbMATH Keywords

finite Abelian groupsinner mapping groupsmultiplication groupsfinite loopsinner automorphism groupsright translations

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Finite abelian groups (20K01) Loops, quasigroups (20N05) Representations of groups as automorphism groups of algebraic systems (20F29)

Related Items

Topological loops with decomposable solvable multiplication groups ⋮ Abelian inner mappings and nilpotency class greater than two. ⋮ The Multiplication Group of an AG-group ⋮ Small loops of nilpotency class 3 with commutative inner mapping groups

Cites Work

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• Erweiterung von Gruppen und ihren Isomorphismen
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• Contributions to the Theory of Loops