An elementary class extending abelian-by-$ G $ groups, for $ G $ infinite

Carlo Toffalori

Displaying similar documents to “An elementary class extending abelian-by- $G$ groups, for $G$ infinite”

On some model theoretic problems concerning certain extensions of abelian groups by groups of finite exponent

Carlo Toffalori (2000)

Rendiconti del Seminario Matematico della Università di Padova

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Some conditions implying that an infinite group is abelian

Luise-Charlotte Kappe, M. J. Tomkinson (1998)

Rendiconti del Seminario Matematico della Università di Padova

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A note on a class of factorized $p$ -groups

Enrico Jabara (2005)

Czechoslovak Mathematical Journal

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In this note we study finite $p$ -groups $G = A B$ admitting a factorization by an Abelian subgroup $A$ and a subgroup $B$ . As a consequence of our results we prove that if $B$ contains an Abelian subgroup of index $p^{n - 1}$ then $G$ has derived length at most $2 n$ .

Characterization of abelian-by-cyclic 3-rewritable groups

A. Abdollahi, A. Mohammadi Hassanabadi (2004)

Rendiconti del Seminario Matematico della Università di Padova

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Subsequence sums of zero-sum free sequences over finite abelian groups

Yongke Qu, Xingwu Xia, Lin Xue, Qinghai Zhong (2015)

Colloquium Mathematicae

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Let G be a finite abelian group of rank r and let X be a zero-sum free sequence over G whose support supp(X) generates G. In 2009, Pixton proved that $| Σ (X) | \geq 2^{r - 1} (| X | - r + 2) - 1$ for r ≤ 3. We show that this result also holds for abelian groups G of rank 4 if the smallest prime p dividing |G| satisfies p ≥ 13.

On elementary equivalence of abelian groups

Fred Clare (1976)

Colloquium Mathematicae

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Structure and order structure in Abelian groups

Anne C. Morel (1968)

Colloquium Mathematicae

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A note on factorized (finite) $p$ -groups

Marta Morigi (1997)

Rendiconti del Seminario Matematico della Università di Padova

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Sum-dominant sets and restricted-sum-dominant sets in finite abelian groups

David B. Penman, Matthew D. Wells (2014)

Acta Arithmetica

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We call a subset A of an abelian group G sum-dominant when |A+A| > |A-A|. If |A⨣A| > |A-A|, where A⨣A comprises the sums of distinct elements of A, we say A is restricted-sum-dominant. In this paper we classify the finite abelian groups according to whether or not they contain sum-dominant sets (respectively restricted-sum-dominant sets). We also consider how much larger the sumset can be than the difference set in this context. Finally, generalising work of Zhao, we provide asymptotic...

Displaying similar documents to “An elementary class extending abelian-by- G groups, for G infinite”

Displaying similar documents to “An elementary class extending abelian-by- $G$ groups, for $G$ infinite”