On the structure of the inner mapping groups of loops

DOI10.1080/00927879608825558zbMath0853.20049OpenAlexW2061979778MaRDI QIDQ4868172

Markku Niemenmaa

Publication date: 8 January 1997

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

Full work available at URL: https://doi.org/10.1080/00927879608825558

zbMATH Keywords

inner mapping groupsmultiplication groupsfinite loopssubgroups of symmetric groupsleft and right translations

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Representations of groups as automorphism groups of algebraic systems (20F29) Subgroups of symmetric groups (20B35)

Related Items

Abelian groups as inner mapping groups of loops, On finite loops whose inner mapping groups are Abelian II, Abelian inner mappings and nilpotency class greater than two., On the abelian inner permutation groups of loops, On finite loops whose inner mapping groups are Abelian

Cites Work

• On \(p\)-groups as loop groups
• On loops with cyclic inner mappings groups
• On multiplication groups of loops
• On Connected Transversals to Abelian Subgroups in Finite Groups
• Endliche Gruppen I