Double cosets in free product
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 26 (2019) no. 1, pp. 8-16

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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.
Mots-clés : group, double decomposition index
Keywords: algorithmic problem, subgroup, subgroup index, double coset, free product, free complementarity of subgroups.
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     author = {A. P. Goryushkin},
     title = {Double cosets in free product},
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A. P. Goryushkin. Double cosets in free product. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 26 (2019) no. 1, pp. 8-16. http://geodesic.mathdoc.fr/item/VKAM_2019_26_1_a0/