CYCLIC EXTENSIONS OF MOUFANG LOOPS INDUCED BY SEMI-AUTOMORPHISMS

DOI10.1142/S0219498813501284zbMath1296.20028arXiv1306.6261OpenAlexW2964125938MaRDI QIDQ5414215

Stephen M. III Gagola

Publication date: 2 May 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6261

zbMATH Keywords

semidirect productsgroup extensionsMoufang loopsproducts of groupssemi-automorphisms

Mathematics Subject Classification ID

General structure theorems for groups (20E34) Loops, quasigroups (20N05) Extensions, wreath products, and other compositions of groups (20E22) Products of subgroups of abstract finite groups (20D40)

Related Items (7)

When are inner mapping groups generated by conjugation maps? ⋮ A short proof for the central nilpotency of Moufang loops of prime power order ⋮ On abelian-by-cyclic Moufang loops ⋮ On half-automorphisms of certain Moufang loops with even order. ⋮ Cyclic extensions of finite simple groups ⋮ On the nuclei of Moufang loops with orders coprime to six. ⋮ On extensions of Moufang loops by a cyclic factor that is coprime to three

Cites Work

• When are inner mapping groups generated by conjugation maps?
• Moufang loops of odd order \(pq^3\)
• Gewebe und Gruppen. (Topologische Fragen der Differentialgeometrie LXV)
• On semi-endomorphisms of groups

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