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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 1, Pages 188–198 (Mi smj2412)  
This article is cited in 9 scientific papers (total in 9 papers)

On the Shunkov groups acting freely on abelian groups

A. I. Sozutovab

a Reshetnev Siberian State Aerospace University, Krasnoyarsk, Russia
b Siberian Federal University, Krasnoyarsk, Russia
Full-text PDF (306 kB) Citations (9)
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Abstract: We prove the existence of a locally finite periodic part in every rank 1 Shunkov group with solvable finite subgroups, in every Shunkov group acting freely on an abelian group, and in the groups of affine transformations of neardomains with finite elements.
Keywords: finiteness conditions, finite element, Shunkov group, regular automorphism, neardomain, nearfield, sharply $2$-transitive group.
Received: 11.10.2012
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 1, Pages 144–151
DOI: https://doi.org/10.1134/S0037446613010187
Bibliographic databases:
Document Type: Article
UDC: 519.44/45
Language: Russian
Citation: A. I. Sozutov, “On the Shunkov groups acting freely on abelian groups”, Sibirsk. Mat. Zh., 54:1 (2013), 188–198; Siberian Math. J., 54:1 (2013), 144–151
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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