On direct sums of $\text{B}^{(1)}$-groups – II

Clorinda De Vivo; Claudia Metelli

Displaying similar documents to “On direct sums of $B^{(1)}$ -groups – II”

On direct sums of $ℬ^{(1)}$ -groups

Claudia Metelli (1993)

Commentationes Mathematicae Universitatis Carolinae

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A necessary and sufficient condition is given for the direct sum of two $ℬ^{(1)}$ -groups to be (quasi-isomorphic to) a $ℬ^{(1)}$ -group. A $ℬ^{(1)}$ -group is a torsionfree Abelian group that can be realized as the quotient of a finite direct sum of rank 1 groups modulo a pure subgroup of rank 1.

On Butler $B (2)$ -groups decomposing over two base elements

Clorinda de Vivo, Claudia Metelli (2009)

Commentationes Mathematicae Universitatis Carolinae

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A $B (2)$ -group is a sum of a finite number of torsionfree Abelian groups of rank $1$ , subject to two independent linear relations. We complete here the study of direct decompositions over two base elements, determining the cases where the relations play an essential role.

Butler groups splitting over a base element

Clorinda De Vivo, Claudia Metelli (2007)

Colloquium Mathematicae

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We characterize a particular kind of decomposition of a Butler group that is the general case for Butler B(1)-groups; and exhibit a decomposition of a B(2)-group which is not of that kind.

Compact Abelian groups and extensions of Haar measures

A. Hulanicki

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ContentsIntroduction.................................................................................................................... 31. Preliminaries (topology measure).................................................................... 32. Problems and the theorem.................................................................................... 73. Preliminaries (abstract groups, Cartesian products)....................................... 94. Preliminaries (automorphisms, duality...

On a question of M. Conder

M. Chiara Tamburini, Paola Zucca (2000)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We show that the special linear group $S L (3, Z)$ , over the integers, is not $(2, 3)$ -generated. This gives a negative answer to a question of M. Conder.

Covering locally compact groups by less than $2^{ω}$ many translates of a compact nullset

Márton Elekes, Árpád Tóth (2007)

Fundamenta Mathematicae

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Gruenhage asked if it was possible to cover the real line by less than continuum many translates of a compact nullset. Under the Continuum Hypothesis the answer is obviously negative. Elekes and Stepr mans gave an affirmative answer by showing that if $C_{E K}$ is the well known compact nullset considered first by Erdős and Kakutani then ℝ can be covered by cof() many translates of $C_{E K}$ . As this set has no analogue in more general groups, it was asked by Elekes and Stepr mans whether such a result...

A result on $B_{1}$ -groups

Ladislav Bican, K. M. Rangaswamy (1995)

Rendiconti del Seminario Matematico della Università di Padova

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Displaying similar documents to “On direct sums of B ( 1 ) -groups – II”

On direct sums of ℬ ( 1 ) -groups

On Butler B ( 2 ) -groups decomposing over two base elements

Butler groups splitting over a base element

Compact Abelian groups and extensions of Haar measures

On a question of M. Conder

Covering locally compact groups by less than 2 ω many translates of a compact nullset

A result on B 1 -groups

Displaying similar documents to “On direct sums of $B^{(1)}$ -groups – II”

On direct sums of $ℬ^{(1)}$ -groups

On Butler $B (2)$ -groups decomposing over two base elements

Covering locally compact groups by less than $2^{ω}$ many translates of a compact nullset

A result on $B_{1}$ -groups