On groups satisfying .
Kaplan, Gil, Lev, Arieh (2006)
Beiträge zur Algebra und Geometrie
Similarity:
Kaplan, Gil, Lev, Arieh (2006)
Beiträge zur Algebra und Geometrie
Similarity:
Mohammad Reza Darafsheh, H. Sharifi (2007)
Extracta Mathematicae
Similarity:
A finite group whose irreducible characters are rational valued is called a rational or a Q-group. In this paper we obtain various results concerning the structure of a Sylow 2-subgroup of a solvable Q-group.
David J. Grynkiewicz, Luz E. Marchan, Oscar Ordaz (2009)
Journal de Théorie des Nombres de Bordeaux
Similarity:
Let be a finite and nontrivial abelian group with . A conjecture of Hamidoune says that if is a sequence of integers, all but at most one relatively prime to , and is a sequence over with , the maximum multiplicity of at most , and , then there exists a nontrivial subgroup such that every element can be represented as a weighted subsequence sum of the form , with a subsequence of . We give two examples showing this does not hold in general, and characterize the...
Changguo Shao, Qinhui Jiang (2010)
Archivum Mathematicum
Similarity:
Let be a finite group and the set of numbers of elements with the same order in . In this paper, we prove that a finite group is isomorphic to , where is one of the Mathieu groups, if and only if the following hold: (1) , (2) .
András Biró (2007)
Journal de Théorie des Nombres de Bordeaux
Similarity:
In recent years, starting with the paper [B-D-S], we have investigated the possibility of characterizing countable subgroups of the torus by subsets of . Here we consider new types of subgroups: let be a Kronecker set (a compact set on which every continuous function can be uniformly approximated by characters of ), and the group generated by . We prove (Theorem 1) that can be characterized by a subset of (instead of a subset of ). If is finite, Theorem 1 implies our...
P. Zieschang (1993)
Colloquium Mathematicae
Similarity: