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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 2, Pages 249–264
(Mi smj2636)
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This article is cited in 6 scientific papers (total in 6 papers)
Approximability of generalized free products of groups with amalgamated normal subgroup by some classes of finite groups
D. N. Azarov Ivanovo State University, Ivanovo, Russia
Abstract:
Let $G$ be a free product of almost soluble groups $A$ and $B$ of finite rank with amalgamated normal subgroup $H$, where $H\ne A$ and $H\ne B$, and let $\pi$ be a finite set of primes. We prove that $G$ is an almost residually finite $\pi$-group if and only if so are $A,B,A/H$, and $B/H$.
Keywords:
generalized free product, soluble group, residual finiteness, almost residually finite $p$-group.
Received: 27.03.2014
Citation:
D. N. Azarov, “Approximability of generalized free products of groups with amalgamated normal subgroup by some classes of finite groups”, Sibirsk. Mat. Zh., 56:2 (2015), 249–264; Siberian Math. J., 56:2 (2015), 206–216
Linking options:
https://www.mathnet.ru/eng/smj2636 https://www.mathnet.ru/eng/smj/v56/i2/p249
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