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Algorithmic problems for class-2 nilpotents MR-groups. (English) Zbl 1361.20004

Summary: In this paper we investigate the basic algorithmic problems for class-2 nilpotent MR-groups. It is proved that, under an additional assumption of finite definiteness, all these problems have a positive solution and, in the general case, they have a negative solution for finitely generating groups.

MSC:

20B07 General theory for infinite permutation groups
20F18 Nilpotent groups
20F05 Generators, relations, and presentations of groups
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