We show that certain properties of groups of automorphisms can be read off from the actions they induce on the finite characteristic quotients of their underlying group G. In particular, we obtain criteria for groups of automorphisms of a Ε½ . residually finite and soluble minimax -by-finite group G
Residually Finite Extensions of Periodic Groups
β Scribed by R. Hirshon
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 310 KB
- Volume
- 154
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
We find a necessary and sufficient condition for an amalgamated free product of arbitrarily many isomorphic residually \(p\)-finite groups to be residually \(p\)-finite. We also prove that this condition is sufficient for a free product of any finite number of residually \(p\)-finite groups, amalgam
The purpose of this paper is to consider finite generation and finite presentabil-Ε½ . ity of a BruckαReilly extension S s BR G, of a group G with respect to an endomorphism . It is proved that S is finitely generated if and only if G can be generated by a set of the form D Ο± A i , where A : G is fin