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Small Value of cohomological dimension of group homomorphisms

Algebraic Topology 2025-09-19 v1

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.

Keywords

Cite

@article{arxiv.2509.14615,
  title  = {Small Value of cohomological dimension of group homomorphisms},
  author = {Nursultan Kuanyshov},
  journal= {arXiv preprint arXiv:2509.14615},
  year   = {2025}
}

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8 pages