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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive
J. Sib. Fed. Univ. Math. Phys., 2021 Volume 14, Issue 3, Pages 344–350 (Mi jsfu918)
This article is cited in 1 paper

Sharply 3-transitive groups with finite element

Evgeny B. Durakov

Siberian Federal University, Krasnoyarsk, Russian Federation

Abstract: In this paper we study sharply 3-transitive groups. The local finiteness of sharply triply transitive permutation groups of characteristic $p>3$ containing a finite element of order $p$ is proved.

Keywords: group, sharply k-transitive group, sharply 3-transitive group, locally finite group, near-domain, near-field.

UDC: 512.54

Received: 31.12.2020
Received in revised form: 16.01.2021
Accepted: 20.02.2021

Language: English

DOI: 10.17516/1997-1397-2021-14-3-344-350



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© Steklov Math. Inst. of RAS, 2024