Almost fixed-point-free automorphisms of order 2 |
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Authors: | B A F Wehrfritz |
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Institution: | 1. Queen Mary University of London, Mile End Road, London, E1 4NS, England
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Abstract: | Let φ be an automorphism of order 2 of the group G with C G (φ) finite. We prove the following. If G has finite Hirsch number then G is (nilpotent of class at most 2)-by-finite but need not be abelian-by-finite. If G is a finite extension of a soluble group with finite abelian ranks, then G is abelian-by-finite. |
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