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On subgroups of finite classical groups with exactly two orbits on singular or isotropic points

Combinatorics 2023-10-17 v1 Group Theory

Abstract

In this paper, we classify the groups of semisimilarities of finite classical polar spaces with exactly two orbits on the singular or isotropic points. As a byproduct, we obtain many highly symmetric regular sets in the point graphs of finite classical polar spaces.

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Cite

@article{arxiv.2310.09460,
  title  = {On subgroups of finite classical groups with exactly two orbits on singular or isotropic points},
  author = {Tao Feng and Qing Xiang},
  journal= {arXiv preprint arXiv:2310.09460},
  year   = {2023}
}

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46 pages