A NOTE ON POLYCYLIC RESIDUALLY FINITE-p GROUPS
نویسندگان
چکیده
منابع مشابه
A NOTE ON POLYCYLIC RESIDUALLY FINITE-p GROUPS
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...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2009
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s001708950999022x