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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 2, Pages 247–258
DOI: https://doi.org/10.17377/smzh.2016.57.202 (Mi smj2741) 		 
Residually nilpotent fundamental groups of compact Sol-$3$-manifolds

O. V. Bryukhanov

Siberian University of Consumer's Cooperation, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/smzh.2016.57.202
Abstract: We give criteria for the fundamental groups of compact Sol-$3$-manifolds to be residually nilpotent and residually finite $p$-groups.
Keywords: Sol geometry, full isometry group, linear representation, residual $p$-finiteness, residual nilpotency.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-92697_ИНД_а
The author was supported by the Russian Foundation for Basic Research (Grant 13-01-92697_IND_a (2013–2014)).
Received: 26.02.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 2, Pages 190–199
DOI: https://doi.org/10.1134/S0037446616020026
Bibliographic databases:
Document Type: Article
UDC: 515.162+512.816.5+512.544
Language: Russian
Citation: O. V. Bryukhanov, “Residually nilpotent fundamental groups of compact Sol-$3$-manifolds”, Sibirsk. Mat. Zh., 57:2 (2016), 247–258; Siberian Math. J., 57:2 (2016), 190–199
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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