Connected transversals to nilpotent groups

DOI10.1515/JGT.2007.015zbMath1150.20010OpenAlexW2065499673MaRDI QIDQ3429461

Marcin Mazur

Publication date: 2 April 2007

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2007.015

zbMATH Keywords

finite groupssolvabilitynilpotent subgroupsconnected transversals

Mathematics Subject Classification ID

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

Related Items

Topological loops with decomposable solvable multiplication groups, Commutator theory for loops., Abelian extensions and solvable loops., Topological loops having solvable indecomposable Lie groups as their multiplication groups, FINITE LOOPS WITH NILPOTENT INNER MAPPING GROUPS ARE CENTRALLY NILPOTENT, Small loops of nilpotency class 3 with commutative inner mapping groups, Moufang loops with commuting inner mappings.

Cites Work

• On multiplication groups of loops
• On Connected Transversals to Abelian Subgroups in Finite Groups
• On loops which have dihedral 2-groups as inner mapping groups