D. V. Lytkina, V. D. Mazurov, “<nobr>$\{2,3\}$</nobr>-groups with no elements of order 6”, Algebra Logika, 2014, Volume 53, Number 6,Pages <nobr>710

This article is cited in 2 papers

$\{2,3\}$-groups with no elements of order 6

D. V. Lytkina^ab, V. D. Mazurov^bc

^a Siberian State University of Telecommunications and Information Sciences, ul. Kirova 86, Novosibirsk, 630102, Russia
^b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
^c Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

Abstract: We describe $\{2,3\}$-groups without elements of order 6 in which orders of $2$-elements are bounded in totality and the order of a product of any two elements of orders at most 4 does not exceed 9.

Keywords: $\{2,3\}$-group, locally finite group.

UDC: 512.542

Received: 21.08.2014