منابع مشابه
On Extensions of Primary Almost Totally Projective Abelian Groups
Suppose G is a subgroup of the reduced abelian p-group A. The following two dual results are proved: (∗) If A/G is countable and G is an almost totally projective group, then A is an almost totally projective group. (∗∗) If G is countable and nice in A such that A/G is an almost totally projective group, then A is an almost totally projective group. These results somewhat strengthen theorems du...
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Let F/F0 be a quadratic extension of totally real number fields, and let E be an elliptic curve over F which is isogenous to its Galois conjugate over F0. A quadratic extension M/F is said to be almost totally complex (ATC) if all archimedean places of F but one extend to a complex place of M . The main goal of this note is to provide a new construction of a supply of Darmon-like points on E, w...
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Let G be an abelian group. We prove that a group G admits a Hausdorff group topology τ such that the von Neumann radical n(G, τ) of (G, τ) is non-trivial and finite iff G has a non-trivial finite subgroup. If G is a topological group, then n(n(G)) 6= n(G) if and only if n(G) is not dually embedded. In particular, n(n(Z, τ)) = n(Z, τ) for any Hausdorff group topology τ on Z. We shall write our a...
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In this paper, we introduce the concept of the independence graph of a directed 2-complex. We show that the class of diagram groups is closed under graph products over independence graphs of rooted 2-trees. This allows us to show that a diagram group containing all countable diagram groups is a semi-direct product of a partially commutative group and R. Thompson's group F. As a result, we prove...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1996
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1996.127288