When are inner mapping groups generated by conjugation maps?

DOI10.1007/s00013-013-0561-9zbMath1290.20063OpenAlexW2018117639MaRDI QIDQ378889

Stephen M. III Gagola

Publication date: 12 November 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-013-0561-9

zbMATH Keywords

Moufang loopsinner mapping groupsmultiplication groupsnormal subloopspermutations by conjugation

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) General theory for infinite permutation groups (20B07) Loops, quasigroups (20N05)

Related Items (3)

3-nets realizing a diassociative loop in a projective plane ⋮ CYCLIC EXTENSIONS OF MOUFANG LOOPS INDUCED BY SEMI-AUTOMORPHISMS ⋮ On the nuclei of Moufang loops with orders coprime to six.

Cites Work

• Unnamed Item
• Abelian inner mappings and nilpotency class greater than two.
• Moufang loops with commuting inner mappings.
• On the abelian inner permutation groups of loops
• CYCLIC EXTENSIONS OF MOUFANG LOOPS INDUCED BY SEMI-AUTOMORPHISMS

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