Sylow Theory for Quasigroups

DOI10.1002/jcd.21415zbMath1331.20076OpenAlexW1853074263MaRDI QIDQ5249056

Jonathan D. H. Smith

Publication date: 29 April 2015

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.21415

zbMATH Keywords

homogeneous spacesLatin squarespermutation representationsMoufang loopsleft quasigroupsSylow theoremsfinite quasigroupsleft multiplication groupsSylow \(p\)-subquasigroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05)

Related Items (3)

Okubo quasigroups ⋮ Sylow Theory for Quasigroups II: Sectional Action ⋮ Augmented quasigroups and character algebras

Uses Software

• GAP

Cites Work

• Unnamed Item
• The existence of Sylow 2-subloops in finite Moufang loops.
• The development of Sylow \(p\)-subloops in finite Moufang loops.
• Ein Beweis für die Existenz der Sylowgruppen
• Permutation representations of left quasigroups.
• On the smallest simple, unipotent Bol loop.
• Sylow's theorem for Moufang loops.
• The conjugacy of triality subgroups of Sylow subloops of Moufang loops
• Matched Pairs, Permutation Representations, and the Bol Property
• A Class of Simple Moufang Loops
• Conjugacy of Sylow 2-Subloops of the Chein LoopsM_2n(G, 2)
• The Number of Sylowp-Subloops in Finite Moufang Loops
• Tensor induction of relative syzygies
• Endliche Gruppen I

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