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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2017 Volume 58, Number 5, Pages 1144–1149 (Mi smj2925)

This article is cited in 3 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.

UDC: 512.54

MSC: 35R30

Received: 15.12.2016

DOI: 10.17377/smzh.2017.58.515


 English version:
Siberian Mathematical Journal, 2017, 58:5, 887–890

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© Steklov Math. Inst. of RAS, 2024