The development of Sylow \(p\)-subloops in finite Moufang loops.

DOI10.1016/j.jalgebra.2009.05.028zbMath1183.20067OpenAlexW2057571446MaRDI QIDQ734786

Stephen M. III Gagola

Publication date: 13 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.05.028

zbMATH Keywords

finite Moufang loopsSylow theoremsPaige loopsgroups with trialitySylow \(p\)-subloopsSylow primes

Mathematics Subject Classification ID

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

Related Items (6)

A Moufang loop's commutant ⋮ Coverings of the smallest Paige loop. ⋮ 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 ⋮ Sylow Theory for Quasigroups

Cites Work

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• The existence of Sylow 2-subloops in finite Moufang loops.
• Sylow's theorem for Moufang loops.
• On loops of odd order. II
• Nilpotence of finite Moufang 2-loops
• The Number of Sylowp-Subloops in Finite Moufang Loops
• The classification of finite simple Moufang loops
• Simple Moufang loops
• Lagrange's theorem for Moufang loops

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