A Moufang loop's commutant

DOI10.1017/S0305004111000181zbMath1244.20060OpenAlexW2046624113MaRDI QIDQ3225515

Stephen M. III Gagola

Publication date: 21 March 2012

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004111000181

zbMATH Keywords

Moufang loopsMoufang identitiesnormal subloopsnormal commutant

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items (6)

Characterization of Moufang loops whose commutant is a normal subloop ⋮ Every Moufang loop of odd order with nontrivial commutant has nontrivial center. ⋮ Half-Automorphisms of Cayley–Dickson Loops ⋮ On the non-commuting graph in finite Moufang loops ⋮ Moufang loops with nonnormal commutative centre ⋮ On Doro’s conjecture for finite Moufang loops

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
• Gewebe und Gruppen. (Topologische Fragen der Differentialgeometrie LXV)
• The Number of Sylowp-Subloops in Finite Moufang Loops
• Simple Moufang loops
• Commutants of Bol loops of odd order
• Lagrange's theorem for Moufang loops

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