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Recursively presented two generated infinite p-groups - MaRDI portal

Recursively presented two generated infinite p-groups (Q802015)

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scientific article; zbMATH DE number 3880929
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English
Recursively presented two generated infinite p-groups
scientific article; zbMATH DE number 3880929

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    Recursively presented two generated infinite p-groups (English)
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    1984
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    This paper addresses the presentation problem for p-groups of a type constructed by \textit{S. Sidki} and the author in recent work: see the basic paper [Contemp. Math. 33, 232-246 (1984; reviewed below)]. An explicit construction, free of tree automorphisms, is given for a 2- generated infinite p-group (p an odd prime) and it is proved that the group is recursively but not finitely presentable. Brief mention is also made of the case \(p=2\). The reviewer would have appreciated a little more detail on the links with the previous work.
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    presentation
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    p-groups
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    2-generated infinite p-group
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