Hereditary finiteness and basis rank of certain varietal products
β Scribed by A. N. Krasil'nikov; A. L. Shmel'kin
- Publisher
- Springer US
- Year
- 1981
- Tongue
- English
- Weight
- 590 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0002-5232
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π SIMILAR VOLUMES
The purpose of the present paper is to give a topological proof of the fact that the free product of two residually finite groups with a finite subgroup amalgamated is itself residually finite. This theorem, which is due to G. Baumslag [2], is a generalization of the corresponding result for ordinar
J. Rhodes asserted at in Braga in 1997, in response to a question of J. Almeida, that A \* G is not ΓΏnite vertex rank. We prove his assertion and more. By way of contrast, we show that G \* A is local, i.e. has vertex rank 1.
We show w; is hereditarily countably metacompact for each n E w, but w;" is not. 0 1997 Published by Elsevier Science B.V.