2D problems in groups
classification
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math.AT
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conjectureproblemabstractanaloguesdeficiencydimensionalfinitegroups
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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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