On the abelian inner permutation groups of loops

DOI10.1080/00927879808826169zbMath0913.20043OpenAlexW2014206279MaRDI QIDQ4395718

Tomáš Kepka

Publication date: 8 June 1999

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879808826169

zbMATH Keywords

transversalsmultiplication groupsfinite loopscentrally nilpotent loopsinner permutation groups

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Subgroups of symmetric groups (20B35)

Related Items

Abelian groups as inner mapping groups of loops, Bruck Loops with Abelian Inner Mapping Groups, Abelian inner mappings and nilpotency class greater than two., When are inner mapping groups generated by conjugation maps?, Explicit constructions of loops with commuting inner mappings., Loops with Abelian Inner Mapping Groups: An Application of Automated Deduction, Left conjugacy closed loops of nilpotency class two., On finite loops whose inner mapping groups are Abelian

Cites Work

• On loops with cyclic inner mappings groups
• On multiplication groups of loops
• On connected transversals to Abelian subgroups
• On the structure of the inner mapping groups of loops