On embedding of partially commutative metabelian groups to matrix groups. (English) Zbl 1446.20054
Summary: The Magnus embedding of a free metabelian group induces the embedding of partially commutative metabelian group \(S_\Gamma\) in a group of matrices \(M_\Gamma\). Properties and the universal theory of the group \(M_\Gamma\) are studied.
MSC:
| 20F10 | Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) |
| 20F70 | Algebraic geometry over groups; equations over groups |
| 20F16 | Solvable groups, supersolvable groups |
| 20H99 | Other groups of matrices |
References:
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| [14] | A. |
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