Small Value of cohomological dimension of group homomorphisms

2025/09/18 by Kuanyshov, Nursultan · 1 citation
#20J06 #55M30 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2509.14615

Abstract

We give the characterisation of cohomological dimension of group homomorphisms. In particular, we show the analogue of the Stallings-Swan theorem in the case of group epimorphisms.

Citations

• On the sequential topological complexity of group homomorphisms
• On the LS-category of homomorphism of almost nilpotent groups
• On the LS-category of homomorphisms of groups with torsion
• On cohomological dimension of group homomorphisms
• On the Topological Complexity of Maps

Cited by

• m-Contiguity Distance

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• On cohomological dimension of group homomorphisms
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• Dimension of elementary amenable groups
• Equivariant dimensions of groups with operators