A Note on Point Stabilizers in Sharp Permutation Groups of Type {0, k} |
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| Authors: | Douglas P. Brozovic Peter K. Sin |
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| Affiliation: | 1. Department of Mathematics, University of North Texas, Denton, Texas, USAbrozovic@unt.edu;3. Department of Mathematics, University of Florida, Gainesville, Florida, USA |
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| Abstract: | We study sharp permutation groups of type {0, k} and observe that, once the isomorphism type of a point stabilizer is fixed, there are only finitely many possibilities for such a permutation group. We then show that a sharp permutation group of type {0, k} in which a point stabilizer is isomorphic to the alternating group on 5 letters must be a geometric group. There is, up to permutation isomorphism, one such permutation group. |
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| Keywords: | Finite permutation group Imprimitive permutation group |
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