The Number of Sylowp-Subloops in Finite Moufang Loops

DOI10.1080/00927870902950647zbMath1203.20066OpenAlexW2064250623MaRDI QIDQ3562340

Stephen M. III Gagola

Publication date: 21 May 2010

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

Full work available at URL: https://doi.org/10.1080/00927870902950647

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 (5)

A Moufang loop's commutant ⋮ Coverings of the smallest Paige loop. ⋮ Hall's theorem for Moufang loops. ⋮ The development of Sylow \(p\)-subloops in finite Moufang loops. ⋮ Sylow Theory for Quasigroups

Cites Work

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• 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
• Lagrange's theorem for Moufang loops

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