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arXiv:0912.0873 [math.GR]AbstractReferencesReviewsResources

Rank 3 permutation characters and maximal subgroups

Hung P. Tong-Viet

Published 2009-12-04, updated 2011-02-23Version 2

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.

Comments: 41 pages, to appear in Forum Mathematicum
Categories: math.GR, math.RT
Subjects: 20B15, 20E28, 20C20
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