On connected transversals to Abelian subgroups

DOI10.1017/S0004972700016166zbMath0799.20020OpenAlexW2142124365MaRDI QIDQ4291004

Markku Niemenmaa, Tomáš Kepka

Publication date: 16 June 1994

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

Full work available at URL: https://doi.org/10.1017/s0004972700016166

zbMATH Keywords

connected transversalsfinite abelian subgroupsabelian inner mapping groupcentrally nilpotent loop

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Subgroup theorems; subgroup growth (20E07) Special subgroups (Frattini, Fitting, etc.) (20D25) Loops, quasigroups (20N05)

Related Items

Topological loops with decomposable solvable multiplication groups, On connected transversals to nonabelian subgroups, Abelian inner mappings and nilpotency class greater than two., Finite loops with dihedral inner mapping groups are solvable., Three-Dimensional Topological Loops with Solvable Multiplication Groups, On the abelian inner permutation groups of loops, On dihedral 2-groups as inner mapping groups of finite commutative inverse property loops, Topological loops having solvable indecomposable Lie groups as their multiplication groups, The multiplication groups of 2-dimensional topological loops, Moufang loops with commuting inner mappings., Solvability conditions for loops and groups, On finite commutative IP-loops with elementary abelian inner mapping groups of order $p^5$, Left conjugacy closed loops of nilpotency class two.

Cites Work

• On multiplication groups of loops
• A simple construction for the Fischer-Griess monster group
• On loops of odd order. II
• On loops of odd order
• A Moufang loop, the exceptional Jordan algebra, and a cubic form in 27 variables
• The classification of finite simple Moufang loops
• On Connected Transversals to Abelian Subgroups in Finite Groups
• Endliche Gruppen I
• Contributions to the Theory of Loops