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Large orbits in actions of nilpotent groups |
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| Authors: | I M Isaacs |
| Institution: | Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Madison, Wisconsin 53706 |
| Abstract: | If a nontrivial nilpotent group  acts faithfully and coprimely on a group  , it is shown that some element of  has a small centralizer in  and hence lies in a large orbit. Specifically, there exists  such that  , where  is the smallest prime divisor of  . |
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