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2023•Journal of TopologyOpen access

Asymptotic and Assouad–Nagata dimension of finitely generated groups and their subgroups

Levi Sledd

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Abstract

Abstract We prove that for all with , there exists a finitely generated group with a finitely generated subgroup such that , , and . This simultaneously answers two open questions in asymptotic dimension theory.

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Abstract We prove that for all with , there exists a finitely generated group with a finitely generated subgroup such that , , and . This simultaneously answers two open questions in asymptotic dimension theory.

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Available abstract

Abstract We prove that for all with , there exists a finitely generated group with a finitely generated subgroup such that , , and . This simultaneously answers two open questions in asymptotic dimension theory.

Key concepts: Mathematics, Finitely-generated abelian group, Dimension (graph theory), Pure mathematics, Group (periodic table), Combinatorics, Organic chemistry, Chemistry

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