Uniquely 2-divisible Bol loops

Details Uniquely 2-divisible Bol loops Uniquely 2-divisible Bol loops

2009-10-13

arxiv.org/abs/0910.2429v4

J. Algebra Appl. 9 (2010), no. 4, 591-601

Mathematics

Group Theory

9 pages; v.2: new results, reformatted for journal submission; v.3; labels on nuclei switched around. V4: same paper, but the

Scientific paper

Although any finite Bol loop of odd prime exponent is solvable, we show there
exist such Bol loops with trivial center. We also construct finitely generated,
infinite, simple Bruck loops of odd prime exponent for sufficiently large
primes. This shows that the Burnside problem for Bruck loops has a negative
answer.

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