Groups whose elements are not conjugate to their powers |
| |
| Authors: | Andreas Bächle Benjamin Sambale |
| |
| Institution: | 1.Vakgroep Wiskunde,Vrije Universiteit Brussel,Brussels,Belgium;2.Fachbereich Mathematik,TU Kaiserslautern,Kaiserslautern,Germany |
| |
| 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. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
