Bruck Loops with Abelian Inner Mapping Groups

DOI10.1080/00927872.2011.579587zbMath1256.20063OpenAlexW2012864051MaRDI QIDQ2904699

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Publication date: 23 August 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2011.579587

zbMATH Keywords

Bruck loopsinner mapping groupscentrally nilpotent loops

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items

Loops with Abelian Inner Mapping Groups: An Application of Automated Deduction, MOUFANG MAGMAS WITH INVERSES

Cites Work

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• Loops whose inner mappings are automorphisms
• Abelian inner mappings and nilpotency class greater than two.
• Explicit constructions of loops with commuting inner mappings.
• Moufang loops with commuting inner mappings.
• Theory of K-loops
• On twisted subgroups and Bol loops of odd order.
• On loops of odd order. II
• Left conjugacy closed loops of nilpotency class two.
• On loops of odd order
• Finite Bruck loops
• FINITE LOOPS WITH NILPOTENT INNER MAPPING GROUPS ARE CENTRALLY NILPOTENT
• On Connected Transversals to Abelian Subgroups in Finite Groups
• On the abelian inner permutation groups of loops