MATHEMATICS

Double cosets in free product

A. P. Goryushkin

Vitus Bering Kamchatka State University, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia

Abstract: This paper deals with problems connecting with decomposition of groups into double cosets. It is established a relation between double decomposition and usual decomposition by subgroups for groups which can be decompose into a generalized free products and groups with free complementarity of subgroups.

Keywords: group, algorithmic problem, subgroup, subgroup index, double decomposition index, double coset, free product, free complementarity of subgroups.

UDC: 519.4

MSC: 18A32

Received: 15.02.2019

DOI: 10.26117/2079-6641-2019-26-1-8-16

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