Geodesic
A NOTE ON POLYCYLIC RESIDUALLY FINITE-p GROUPS
Glasgow mathematical journal, Tome 52 (2010) no. 1, pp. 137-143

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DOI

A subgroup H of a residually finite-p group G is almost p-closed in G if H has finite p′-index in H, its closure with respect to the pro-p topology on G. We characterise polycyclic residually finite-p groups in which all subgroups are almost p-closed and discuss a few conditions that are sufficient for particular subgroups H to be almost p-closed. We also present, for each prime p, an example of a polycyclic residually-p group G for which |H: H| takes on all possible values, including infinity, as H varies.
DOI : 10.1017/S001708950999022X
Mots-clés : 20F16, 20E26 
CUTOLO, GIOVANNI; SMITH, HOWARD. A NOTE ON POLYCYLIC RESIDUALLY FINITE-p GROUPS. Glasgow mathematical journal, Tome 52 (2010) no. 1, pp. 137-143. doi: 10.1017/S001708950999022X
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     journal = {Glasgow mathematical journal},
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     year = {2010},
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