On Bruck loops of 2-power exponent.

DOI10.1016/j.jalgebra.2010.10.033zbMath1233.20059arXiv0908.2596OpenAlexW2963223804MaRDI QIDQ536027

Barbara Baumeister, Gernot Stroth, Alexander Stein

Publication date: 16 May 2011

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

Full work available at URL: https://arxiv.org/abs/0908.2596

zbMATH Keywords

transversalstwisted subgroupsFermat primesconjugacy classes of involutionsfinite Bol loopsfinite Bruck loopsloop envelopesloop folders

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (3)

On Bruck loops of 2-power exponent. ⋮ Involutive groups, unique 2-divisibility, and related gyrogroup structures ⋮ The finite Bruck loops.

Cites Work

• On Bruck loops of 2-power exponent.
• The finite Bruck loops.
• On Bol loops of exponent 2.
• Self-invariant \(1\)-factorizations of complete graphs and finite Bol loops of exponent \(2\).
• On twisted subgroups and Bol loops of odd order.
• On loops of odd order. II
• On loops of odd order
• Finite Bruck loops
• Near subgroups of finite groups
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