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arxiv: 0808.2932 · v1 · submitted 2008-08-21 · 🧮 math.GR · math.AG

Krull dimension of solvable groups

classification 🧮 math.GR math.AG
keywords groupssolvabledimensionfreekrullalgebraicalongclass
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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 study the algebraic structure of the limit solvable groups (fully residually free solvable groups).

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