2D problems in groups

Aditi Kar; Nikolay Nikolov

2D problems in groups

Aditi Kar, Nikolay Nikolov

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Abstract

We investigate a conjecture about stabilisation of deficiency in finite index subgroups and relate it to the D2 Problem of C.T.C. Wall and the Relation Gap problem. We verify the pro-$p$ version of the conjecture, as well as its higher dimensional abstract analogues.

Original language	Undefined/Unknown
Journal	arXiv
Publication status	Published - 13 Jan 2018

Keywords

math.GR
math.AT

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title = "2D problems in groups",

abstract = "We investigate a conjecture about stabilisation of deficiency in finite index subgroups and relate it to the D2 Problem of C.T.C. Wall and the Relation Gap problem. We verify the pro-$p$ version of the conjecture, as well as its higher dimensional abstract analogues.",

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author = "Aditi Kar and Nikolay Nikolov",

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N1 - comments welcome, some references added in v2

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