Abelian groups as inner mapping groups of loops

DOI10.1017/S0004972700034730zbMath1085.20006OpenAlexW2002792654MaRDI QIDQ3158787

Asif Ali, John Cossey

Publication date: 31 January 2005

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

Full work available at URL: https://doi.org/10.1017/s0004972700034730

zbMATH Keywords

finite groupstransversalsfinite Abelian groupsinner mapping groupsmultiplication groups of loops

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Finite abelian groups (20K01) Automorphisms of abstract finite groups (20D45) Loops, quasigroups (20N05)

Cites Work

• On loops with cyclic inner mappings groups
• On multiplication groups of loops
• Finite soluble groups
• On Connected Transversals to Abelian Subgroups in Finite Groups
• On the abelian inner permutation groups of loops
• On the structure of the inner mapping groups of loops
• Unnamed Item