On finite loops whose inner mapping groups are Abelian II

DOI10.1017/S0004972700038491zbMath1080.20061MaRDI QIDQ5315960

Markku Niemenmaa

Publication date: 12 September 2005

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

zbMATH Keywords

finite Abelian groupsinner mapping groupsmultiplication groupsfinite loopscentrally nilpotent 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) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• On loops with cyclic inner mappings groups
• On multiplication groups of loops
• Erweiterung von Gruppen und ihren Isomorphismen
• On the structure of the inner mapping groups of loops
• Endliche Gruppen I
• Contributions to the Theory of Loops

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