Isomorphism versus commensurability for a class of finitely presented groups
Isomorphism versus commensurability for a class of finitely presented groups
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一类有限呈现群的同构与可通约性
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
A. Minasyan
中科院分区：
文献类型：
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作者：
G. Arzhantseva;J.;A. Minasyan
我们构造一类有限呈现群，其中同构问题是可解的，但可通约问题是不可解的。相反，我们构造一类有限呈现群，其中可通约问题可解，但同构问题不可解。这些是关于同构问题的这种对比复杂性行为的第一个例子。
We construct a class of finitely presented groups where the isomorphism problem is solvable but the commensurability problem is unsolvable. Conversely, we construct a class of finitely presented groups within which the commensurability problem is solvable but the isomorphism problem is unsolvable. These are first examples of such a contrastive complexity behaviour with respect to the isomorphism problem.