EuDML | Browse

Page 1

Displaying 1 – 13 of 13

Separable mixed groups

Charles K. Megibben (1980)

Commentationes Mathematicae Universitatis Carolinae

Small-sum pairs in abelian groups

Reza Akhtar, Paul Larson (2010)

Journal de Théorie des Nombres de Bordeaux

Let $G$ be an abelian group and $A, B$ two subsets of equal size $k$ such that $A + B$ and $A + A$ both have size $2 k - 1$ . Answering a question of Bihani and Jin, we prove that if $A + B$ is aperiodic or if there exist elements $a \in A$ and $b \in B$ such that $a + b$ has a unique expression as an element of $A + B$ and $a + a$ has a unique expression as an element of $A + A$ , then $A$ is a translate of $B$ . We also give an explicit description of the various counterexamples which arise when neither condition holds.

Displaying 1 – 13 of 13

Separable mixed groups

Small-sum pairs in abelian groups

Solution générale sur un groupe abélien de l'équation fonctionelle f(xf(y)) = f(f(x)y).

Some commutativity criteria

Some commutativity criteria. - II

Some new results in probalistic group theory.

Some results in additive number theory I: The critical pair theory

Splitting of pure subgroups

Splitting the Künneth Sequence in K-Theory.

Splittings of infinite abelian group.

Splittings of infinite abelian group. (Short Communication).

Subgroup criteria for an abelian group.

Subsemigroups of Finitely Generated Groups with Divisor-Theory.

Currently displaying 1 – 13 of 13