The existence of Sylow 2-subloops in finite Moufang loops.

DOI10.1016/j.jalgebra.2008.06.039zbMath1183.20066OpenAlexW1984129614MaRDI QIDQ731903

Stephen M. III Gagola

Publication date: 9 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.06.039

zbMATH Keywords

finite Moufang loopsSylow theoremsPaige loops\(p\)-subloopsgroups with trialitySylow 2-subloopsSylow subloops

Mathematics Subject Classification ID

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

Related Items (6)

A Moufang loop's commutant ⋮ The Number of Sylowp-Subloops in Finite Moufang Loops ⋮ Hall's theorem for Moufang loops. ⋮ The conjugacy of triality subgroups of Sylow subloops of Moufang loops ⋮ The development of Sylow \(p\)-subloops in finite Moufang loops. ⋮ Sylow Theory for Quasigroups

Cites Work

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• On loops of odd order. II
• Nilpotence of finite Moufang 2-loops
• The classification of finite simple Moufang loops
• Simple Moufang loops
• Lagrange's theorem for Moufang loops

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