On finite loops with nilpotent inner mapping groups.

DOI10.1007/S00013-010-0175-4zbMath1209.20070OpenAlexW2038961488MaRDI QIDQ604211

Markku Niemenmaa, Miikka Rytty

Publication date: 10 November 2010

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-010-0175-4

zbMATH Keywords

finite Abelian groupsinner mapping groupsfinite loopscentrally nilpotent loopsinner automorphism groups

Mathematics Subject Classification ID

Finite abelian groups (20K01) Loops, quasigroups (20N05) Representations of groups as automorphism groups of algebraic systems (20F29) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

On Finite Nonabelian Loop Capable Groups

Uses Software

• GAP
• LOOPS

Cites Work

• Abelian inner mappings and nilpotency class greater than two.
• On multiplication groups of loops
• Moufang loops with commuting inner mappings.
• Finite soluble groups
• On connected transversals to Abelian subgroups and loop theoretical consequences.
• FINITE LOOPS WITH NILPOTENT INNER MAPPING GROUPS ARE CENTRALLY NILPOTENT
• Contributions to the Theory of Loops

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