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MATHEMATICS

On subgroups of almost amalgamated free product two groups with finite amalgamated subgroup

A. P. Goryushkin<sup>ab

a</sup> Kamchatka State University by Vitus Bering, 683032, Petropavlovsk Kamchatskiy, Pogranichnaya st, 4, Russia
^b Branch of the Far Eastern Federal State University, 683031, Petropavlovsk-Kamchatsky, Tushkanova st., 11 / 1

Abstract: Subgroups of groups which can be present as almost free product of two groups with finite amalgamated subgroup are studied.

Keywords: free product with amalgamation, set of generators, index of a subgroup, normal subgroup.

UDC: 512.24

MSC: 18A32

Received: 15.05.2012

DOI: 10.18454/2079-6641-2012-4-1-5-10

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