Homological decision problems for finitely generated groups with solvable word problem

W. A. Bogley; J. Harlander

doi:10.1142/s0218196702000973

Homological decision problems for finitely generated groups with solvable word problem

W. A. Bogley
, J. Harlander

Mathematics Department

Oregon State University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We show that for finitely generated groups P with solvable word problem, there is no algorithm to determine whether H₁(P) is trivial, nor whether H₂(P) is trivial.

Original language	English
Pages (from-to)	213-221
Number of pages	9
Journal	International Journal of Algebra and Computation
Volume	12
Issue number	1-2
DOIs	https://doi.org/10.1142/s0218196702000973
State	Published - 2002

Keywords

Homology of groups
Word problem

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10.1142/s0218196702000973

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title = "Homological decision problems for finitely generated groups with solvable word problem",

abstract = "We show that for finitely generated groups P with solvable word problem, there is no algorithm to determine whether H1(P) is trivial, nor whether H2(P) is trivial.",

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AU - Harlander, J.

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N2 - We show that for finitely generated groups P with solvable word problem, there is no algorithm to determine whether H1(P) is trivial, nor whether H2(P) is trivial.

AB - We show that for finitely generated groups P with solvable word problem, there is no algorithm to determine whether H1(P) is trivial, nor whether H2(P) is trivial.

KW - Homology of groups

KW - Word problem

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DO - 10.1142/s0218196702000973

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AN - SCOPUS:0036016728

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VL - 12

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EP - 221

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

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ER -

Homological decision problems for finitely generated groups with solvable word problem

Abstract

Keywords

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