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Showing 2008 · math.GRShow all
3 papers · 2 filters
math.GR2008★ 4 cited
On Systems of Equations over Free Partially Commutative Groups
Montserrat Casals-Ruiz, Ilya Kazachkov
Version 2: Corrected Section 3.3: instead of lexicographical normal forms we now use a normal form due to V. Diekert and A. Muscholl. Consequent changes made and some misprints cor…
math.GR2008★ 2 cited
Krull dimension of solvable groups
A. Myasnikov, N. Romanovskiy
In this paper we prove that free solvable groups have finite Krull dimension. In fact, this is true for much wider class of solvable groups, termed rigid groups. Along the way we s…
math.GR2008★ 1 cited
The Word and Geodesic Problems in Free Solvable Groups
A. Myasnikov, V. Roman'kov, A. Ushakov +1
We study the computational complexity of the Word Problem (WP) in free solvable groups , where is the rank and is the solvability class of the group.…