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Exponential \(MR\)-groups: faithful \(R\)-completion. (English. Russian original) Zbl 1481.20194

Dokl. Math. 99, No. 3, 263-265 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 2, 147-150 (2019).
Summary: This paper is devoted to partial exponential \(MR\)-groups that are isomorphically embeddable in their tensor \(R\)-completions. As a consequence, the free \(MR\)-groups and free \(MR\)-products are described in terms of usual group-theoretical free constructions.

MSC:

20J15 Category of groups
20B07 General theory for infinite permutation groups
20E05 Free nonabelian groups
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References:

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