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This article is cited in 8 scientific papers (total in 8 papers)
On the residual finiteness of the HNN-extensions and generalized free products of finite rank groups
D. N. Azarov
Ivanovo State University, Ivanovo, Russia
Abstract:
We obtain necessary and sufficient conditions for the residual finiteness for some HNN-extensions and generalized free products of soluble minimax groups.
Keywords:
HNN-extension, generalized free product, soluble group, residual finiteness, almost approximability by finite $p$-groups.
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Siberian Mathematical Journal, 2013, 54:6, 959–967
Bibliographic databases:
  
UDC:
512.543
Received: 14.01.2013
Citation:
D. N. Azarov, “On the residual finiteness of the HNN-extensions and generalized free products of finite rank groups”, Sibirsk. Mat. Zh., 54:6 (2013), 1203–1215; Siberian Math. J., 54:6 (2013), 959–967
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/smj2488 http://mi.mathnet.ru/eng/smj/v54/i6/p1203
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This publication is cited in the following articles:
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E. A. Tumanova, “Ob approksimiruemosti kornevymi klassami HNN-rasshirenii grupp”, Model. i analiz inform. sistem, 21:4 (2014), 148–180
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D. N. Azarov, “Approximability of generalized free products of groups with amalgamated normal subgroup by some classes of finite groups”, Siberian Math. J., 56:2 (2015), 206–216
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A. A. Kryazheva, “O finitnoi otdelimosti podgrupp v rasscheplyaemykh rasshireniyakh”, Model. i analiz inform. sistem, 22:4 (2015), 500–506
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D. V. Goltsov, “Approksimiruemost fundamentalnoi gruppy konechnogo grafa grupp kornevym klassom grupp”, Chebyshevskii sb., 17:3 (2016), 64–71
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D. N. Azarov, “O finitno approksimiruemykh gruppakh konechnogo obschego ranga”, Matem. zametki, 101:3 (2017), 323–329
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A. A. Kryazheva, “Residual separability of subgroups in free products with amalgamated subgroup of finite index”, Siberian Math. J., 60:2 (2019), 319–324
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E. A. Tumanova, “The root class residuality of the tree product of groups with amalgamated retracts”, Siberian Math. J., 60:4 (2019), 699–708
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D. N. Azarov, “O slaboi $\pi$-moschnosti nekotorykh grupp i svobodnykh proizvedenii”, Sib. matem. zhurn., 61:6 (2020), 1199–1211
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