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A class of finite simple Bol loops of exponent 2

Group Theory 2007-10-01 v1

Abstract

In this paper we give an infinite class of finite simple right Bol loops of exponent 2. The right multiplication group of these loops is an extension of an elementary Abelian 2-group by S5S_5. The construction uses the description of the structure of such loops given by M. Aschbacher. These results answer some questions of M. Aschbacher.

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Cite

@article{arxiv.0709.4544,
  title  = {A class of finite simple Bol loops of exponent 2},
  author = {Gabor P. Nagy},
  journal= {arXiv preprint arXiv:0709.4544},
  year   = {2007}
}

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14 pages