Finite powers of selectively pseudocompact groups
نویسندگان
چکیده
منابع مشابه
Powers in finite groups
If G is a finitely generated profinite group then the verbal subgroup Gq is open. In a d-generator finite group every product of qth powers is a product of f(d, q) qth powers. 20E20, 20F20.
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It is known that if P is either the property w-bounded or countably compact, then for every cardinal a 2 w there is a P-group G such that H.G = a and no proper, dense subgroup of G is a P-group. What happens when P is the property pseudocompact? The first-listed author and Robertson have shown that every zero-dimensional Abelian P-group G with H.G > o has a proper, dense, P-group. Turning to th...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2018
ISSN: 0166-8641
DOI: 10.1016/j.topol.2018.08.009