Bounds of fixed point ratios of permutation representations of GL_n(q) and groups of genus zero

Bounds of fixed point ratios of permutation representations of GL_n(q) and groups of genus zero

If G is a transitive subgroup of the symmetric group Sym (Ω), where Ω is a finite set of order m; and G satisfies the following conditions: G=<S>, S={g_1,…,g_r] ⊆ G^#, g_1…g_r=1, and r∑i=1 c(g_i)=(r-2)m+2, where c(g_i) is the number of cycles of g_1 on Ω, then G is called a group of genus zer...

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Bibliographic Details
Main Author: Shih, Tanchu
Format: Others
Language:en
Published: 1991
Online Access:https://thesis.library.caltech.edu/6296/3/Shih_t_1991.pdf
Shih, Tanchu (1991) Bounds of fixed point ratios of permutation representations of GL_n(q) and groups of genus zero. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/a3e6-tj54. https://resolver.caltech.edu/CaltechTHESIS:04112011-134618813 <https://resolver.caltech.edu/CaltechTHESIS:04112011-134618813>

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https://thesis.library.caltech.edu/6296/3/Shih_t_1991.pdf
Shih, Tanchu (1991) Bounds of fixed point ratios of permutation representations of GL_n(q) and groups of genus zero. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/a3e6-tj54. https://resolver.caltech.edu/CaltechTHESIS:04112011-134618813 <https://resolver.caltech.edu/CaltechTHESIS:04112011-134618813>

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