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Hydra group doubles are not residually finite.

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Publication:338841
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DOI10.1515/GCC-2016-0015zbMath1352.20032arXiv1507.02554OpenAlexW2963063564MaRDI QIDQ338841

Kristen Pueschel

Publication date: 7 November 2016

Published in: Groups, Complexity, Cryptology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.02554


zbMATH Keywords

finitely presented residually finite groupsgroups with large Dehn functionshydra groups


Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26)


Related Items (1)

Algorithmically complex residually finite groups




Cites Work

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  • Hydra groups.
  • Algorithmically complex residually finite groups
  • A note on groups with separable finitely generated subgroups
  • Residually finite hnn extensions
  • Subgroup separability, knot groups and graph manifolds
  • Taming the hydra: The word problem and extreme integer compression
  • Residual Properties of Free Products




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