Rank 3 permutation characters and maximal subgroups

Details Rank 3 permutation characters and maximal subgroups Rank 3 permutation characters and maximal subgroups

2009-12-04

arxiv.org/abs/0912.0873v2

Mathematics

Group Theory

41 pages, to appear in Forum Mathematicum

Scientific paper

10.1515/FORM.2011.106

In this paper we classify all maximal subgroups M of a nearly simple
primitive rank 3 group G of type L=Omega_{2m+1}(3), m > 3; acting on an L-orbit
E of non-singular points of the natural module for L such that 1_P^G <=1_M^G
where P is a stabilizer of a point in E. This result has an application to the
study of minimal genera of algebraic curves which admit group actions.

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