THE LOWER RANK OF DIRECT PRODUCTS OF HEREDITARILY JUST INFINITE GROUPS
نویسندگان
چکیده
منابع مشابه
on varietal capability of infinite direct products of groups
recently, the authors gave some conditions under which a direct product of finitely many groups is $mathcal{v}-$capable if and only if each of its factors is $mathcal{v}-$capable for some varieties $mathcal{v}$. in this paper, we extend this fact to any infinite direct product of groups. moreover, we conclude some results for $mathcal{v}-$capability of direct products of infinitel...
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We study properties of a group, abelian group, ring, or monoid B which (a) guarantee that every homomorphism from an infinite direct product ∏ I Ai of objects of the same sort onto B factors through the direct product of finitely many ultraproducts of the Ai (possibly after composition with the natural map B → B/Z(B) or some variant), and/or (b) guarantee that when a map does so factor (and the...
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In [24], confirming a conjecture of Hjorth-Kechris [16], Thomas-Velickovic proved that the isomorphism relation on the space Gfg of finitely generated groups is a universal countable Borel equivalence relation. (Here Gfg denotes the Polish space of finitely generated groups introduced by Grigorchuk [12]; i.e. the elements of Gfg are the isomorphism types of marked groups (G, c ), where G is a f...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2017
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089517000064