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This article is cited in 2 scientific papers (total in 2 papers)
On sharply $2$-transitive groups with generalized finite elements
A. I. Sozutov, E. B. Durakov
Siberian Federal University, Krasnoyarsk, Russia
Abstract:
We prove Jordan's Theorem for infinite sharply $2$-transitive groups satisfying the finiteness $(a,b)$-condition, with $|a|\cdot|b|$ even.
Keywords:
group, infinite group with finiteness conditions, sharply $2$-transitive group, Jordan's Theorem.
| Funding Agency |
Grant Number |
Russian Foundation for Basic Research  |
15-01-04897-a
16-41-240670 |
| The authors were financially supported by the Russian Foundation for Basic Research, the Government of the Krasnoyarsk Region, and the Krasnoyarsk Regional Science Foundation (Grants 15-01-04897-a and 16-41-240670). |
DOI:
https://doi.org/10.17377/smzh.2017.58.515
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English version:
Siberian Mathematical Journal, 2017, 58:5, 887–890
Bibliographic databases:
  
UDC:
512.54
MSC: 35R30
Received: 15.12.2016
Citation:
A. I. Sozutov, E. B. Durakov, “On sharply $2$-transitive groups with generalized finite elements”, Sibirsk. Mat. Zh., 58:5 (2017), 1144–1149; Siberian Math. J., 58:5 (2017), 887–890
Citation in format AMSBIB
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Linking options:
http://mi.mathnet.ru/eng/smj2925 http://mi.mathnet.ru/eng/smj/v58/i5/p1144
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This publication is cited in the following articles:
-
A. I. Sozutov, E. B. Durakov, “On groups with a Frobenius element”, Siberian Math. J., 59:5 (2018), 938–946
 -
E. B. Durakov, A. I. Sozutov, “O nekotorykh periodicheskikh gruppakh s konechnym regulyarnym avtomorfizmom chetnogo poryadka”, Algebra i logika, 58:1 (2019), 22–34
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