English

Fusion systems of blocks with nontrivial strongly closed subgroups

Group Theory 2017-01-10 v1

Abstract

In this paper, we find some exotic fusion systems which have non-trivial strongly closed subgroups, and we prove these fusion systems are also not realizable by p-blocks of finite groups.

Keywords

Cite

@article{arxiv.1701.01817,
  title  = {Fusion systems of blocks with nontrivial strongly closed subgroups},
  author = {Heguo Liu and Xingzhong Xu and Jiping Zhang},
  journal= {arXiv preprint arXiv:1701.01817},
  year   = {2017}
}

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7 pages