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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.
Received: 15.02.2019
Citation:
A. P. Goryushkin, “Double cosets in free product”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 26:1 (2019), 8–16
Linking options:
https://www.mathnet.ru/eng/vkam337 https://www.mathnet.ru/eng/vkam/v26/i1/p8
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Abstract page: | 288 | Full-text PDF : | 159 | References: | 35 |
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