The conjugacy of triality subgroups of Sylow subloops of Moufang loops

DOI10.1515/JGT.2010.026zbMath1219.20045MaRDI QIDQ3068137

Stephen M. III Gagola

Publication date: 13 January 2011

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

zbMATH Keywords

finite Moufang loopsSylow theoremsfinite quasigroupsSylow subloopstriality groupsfinite extra loops

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Loops, quasigroups (20N05)

Related Items (2)

Questions of construction of quasifields with associative powers ⋮ Sylow Theory for Quasigroups

Cites Work

• The existence of Sylow 2-subloops in finite Moufang loops.
• The development of Sylow \(p\)-subloops in finite Moufang loops.
• Sylow's theorem for Moufang loops.
• Zur Struktur von Alternativkörpern
• On loops of odd order. II
• Nilpotence of finite Moufang 2-loops
• The classification of finite simple Moufang loops
• Simple Moufang loops
• Moufang Loops of Small Order. I
• Lagrange's theorem for Moufang loops

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