Small loops of nilpotency class 3 with commutative inner mapping groups

DOI10.1515/JGT.2010.062zbMath1234.20069arXiv1509.05723OpenAlexW2963854423MaRDI QIDQ3096074

Aleš Drápal, Petr Vojtěchovský

Publication date: 7 November 2011

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

Full work available at URL: https://arxiv.org/abs/1509.05723

zbMATH Keywords

inner mapping groupsfinite loopsloops of nilpotency class 3Csörgő loops

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Finite nilpotent groups, (p)-groups (20D15)

Related Items

Abelian extensions and solvable loops.

Cites Work

• Abelian inner mappings and nilpotency class greater than two.
• On multiplication groups of loops
• Explicit constructions of loops with commuting inner mappings.
• Solvable groups and loops
• On finite loops whose inner mapping groups are Abelian
• Connected transversals to nilpotent groups
• FINITE LOOPS WITH NILPOTENT INNER MAPPING GROUPS ARE CENTRALLY NILPOTENT
• Contributions to the Theory of Loops