Abelian inner mappings and nilpotency class greater than two.

DOI10.1016/j.ejc.2005.12.002zbMath1149.20053OpenAlexW2154245668MaRDI QIDQ872044

Piroska Csörgő

Publication date: 27 March 2007

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2005.12.002

zbMATH Keywords

inner mapping groupsmultiplication groupsfinite loopscentrally nilpotent loops

Mathematics Subject Classification ID

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

Related Items

Bruck Loops with Abelian Inner Mapping Groups, Gyrogroups associated with groups, On finite loops with nilpotent inner mapping groups., When are inner mapping groups generated by conjugation maps?, Commutator theory for loops., Explicit constructions of loops with commuting inner mappings., Loops with Abelian Inner Mapping Groups: An Application of Automated Deduction, Abelian extensions and solvable loops., FINITE LOOPS WITH NILPOTENT INNER MAPPING GROUPS ARE CENTRALLY NILPOTENT, Small loops of nilpotency class 3 with commutative inner mapping groups, Buchsteiner loops: Associators and constructions, Moufang loops with commuting inner mappings., BUCHSTEINER LOOPS, On finite commutative IP-loops with elementary abelian inner mapping groups of order $p^5$

Cites Work

• Unnamed Item
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• On loops with cyclic inner mappings groups
• On multiplication groups of loops
• Orbits of inner mapping groups
• On connected transversals to Abelian subgroups and loop theoretical consequences.
• Left conjugacy closed loops of nilpotency class two.
• On finite loops whose inner mapping groups are Abelian
• On Connected Transversals to Abelian Subgroups in Finite Groups
• On connected transversals to Abelian subgroups
• On the abelian inner permutation groups of loops
• On the structure of the inner mapping groups of loops
• Contributions to the Theory of Loops