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The purification of subgroups of Abelian groups
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Non-local interaction in discrete Ricci curvature-induced biological aggregation. [PDF]
Beuria J, Behera L.
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On Morphisms Between Connected Commutative Algebraic Groups over a Field of Characteristic 0. [PDF]
Dill GA.
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Pure subgroups of non-abelian groups
Publicationes Mathematicae Debrecen, 2022A footnote to this paper explains that it was written in 1961 and is now published to complete the record of the mathematical work of the late A. Kertész. Let n be a cardinal number. A subgroup G of a group H is called n-pure if every system of equations in the elements of G and a set of variables X with \(| X|
Kertész, A. +2 more
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Coverings of Groups by Abelian Subgroups
Canadian Journal of Mathematics, 1978Paul Erdôs has suggested an investigation of infinite groups from the point of view of the partition relations of set theory. In particular, he suggested that given a group G, one considers the graph T with vertex set G whose edges are the pairs ﹛g, h﹜ which do not commute.
Faber, V., Laver, R., McKenzie, R.
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