On loops which have dihedral 2-groups as inner mapping groups

DOI10.1017/S0004972700014520zbMath0838.20080MaRDI QIDQ4856675

Markku Niemenmaa

Publication date: 23 January 1996

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

zbMATH Keywords

finite groupsdihedral 2-groupssolvable groupsmultiplication groupsconnected transversalscentral nilpotency of loops

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Loops, quasigroups (20N05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (6)

On connected transversals to nonabelian subgroups ⋮ Finite loops with dihedral inner mapping groups are solvable. ⋮ Three-Dimensional Topological Loops with Solvable Multiplication Groups ⋮ The Multiplication Group of an AG-group ⋮ Solvability conditions for loops and groups ⋮ Connected transversals to nilpotent groups

Cites Work

• On \(p\)-groups as loop groups
• On loops with cyclic inner mappings groups
• A special class of non-solvable groups
• On multiplication groups of loops
• Sur des groupes isomorphes au groupe de multiplication d'une boucle.
• The classification of finite simple Moufang loops
• On Connected Transversals to Abelian Subgroups in Finite Groups
• On Connected Transversals in Finite Groups.
• Endliche Gruppen I
• Contributions to the Theory of Loops
• Quasigroups. I
• Quasigroups. II

This page was built for publication: On loops which have dihedral 2-groups as inner mapping groups