On the Orbit Sizes of Permutation Groups on the Power Set |
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Authors: | Thomas Michael Keller |
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Institution: | (1) Department of Mathematics, Southwest Texas State University, 601 University Drive, San Marcos, Texas 78666, USA |
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Abstract: | We study the action of finite permutation groups of odd order on the power set of a set on which they act naturally, and establish a theorem that guarantees the existence of a lot of distinct orbit sizes in this action.
1991 Mathematics Subject Classification: 20B05 |
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Keywords: | orbits in group actions finite permutation groups Fitting height |
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