Groups whose elements are not conjugate to their powers |
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Authors: | Andreas Bächle Benjamin Sambale |
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Affiliation: | 1.Vakgroep Wiskunde,Vrije Universiteit Brussel,Brussels,Belgium;2.Fachbereich Mathematik,TU Kaiserslautern,Kaiserslautern,Germany |
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Abstract: | We call a finite group irrational if none of its elements is conjugate to a distinct power of itself. We prove that those groups are solvable and describe certain classes of these groups, where the above property is only required for p-elements, for p from a prescribed set of primes. |
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