Homological Decision Problems for Finitely Generated Groups with Solvable Word Problem

Homological Decision Problems for Finitely Generated Groups with Solvable Word Problem
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具有可解词问题的有限生成群的同调决策问题

DOI:
10.1142/s0218196702000973
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发表时间:
2002
期刊:
Int. J. Algebra Comput.
影响因子:
--
通讯作者:
J. Harlander
J. Harlander
中科院分区:
--
文献类型:
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作者:
W. A. Bogley;J. Harlander

文献摘要

被引文献

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我们证明了对于具有可解字问题的非平凡生成群P,没有算法来确定H1(P)是否平凡,也没有算法来确定H2(P)是否平凡。
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.