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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 9, Pages 36–47
(Mi ivm9277)
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This article is cited in 4 scientific papers (total in 4 papers)
Necessary conditions of the approximability of generalized free products and
HNN-extensions
A. E. Kuvaev, E. V. Sokolov Ivanovo State University,
39 Ermaka str., Ivanovo, 153025 Russia
Abstract:
We obtain a generalization of Shirvani results on necessary conditions of the residual finiteness of generalized free products and HNN-extensions for the case of the property "to be residually a $\mathcal{C}$-group", where $\mathcal{C}$ is an arbitrary class of groups.
Keywords:
residual properties, free product of groups with one amalgamated subgroup, multiple HNN-extension.
Received: 16.05.2016
Citation:
A. E. Kuvaev, E. V. Sokolov, “Necessary conditions of the approximability of generalized free products and
HNN-extensions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 9, 36–47; Russian Math. (Iz. VUZ), 61:9 (2017), 32–42
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https://www.mathnet.ru/eng/ivm9277 https://www.mathnet.ru/eng/ivm/y2017/i9/p36
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Abstract page: | 163 | Full-text PDF : | 30 | References: | 32 | First page: | 6 |
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