Volume 6, Issue 1
مرور بر اساس
ارسال های اخیر
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Torsion units for some projected special linear groups
(University of Isfahan, 2017-03-01)In this paper, we investigate the Zassenhaus conjecture for $PSL(4,3)$ and $PSL(5,2)$. Consequently, we prove that the Prime graph question is true for both groups.
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A characterization of soluble groups in which normality is a transitive relation
(University of Isfahan, 2017-03-01)A subgroup $X$ of a group $G$ is said to be an H-subgroup if NG(X) ∩ Xg ≤ X for each element $g$ belonging to $G$. In [M. Bianchi and e.a., On finite soluble groups in ...
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Lipschitz groups and Lipschitz maps
(University of Isfahan, 2017-03-01)This contribution mainly focuses on some aspects of Lipschitz groups, i.e., metrizable groups with Lipschitz multiplication and inversion map. In the main result it is proved that metric groups, with a ...
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On bipartite divisor graph for character degrees
(University of Isfahan, 2017-03-01)The concept of the bipartite divisor graph for integer subsets has been considered in [M. A. Iranmanesh and C. E. Praeger, Bipartite divisor graphs for integer subsets, Graphs Combin., 26 ...
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Groups for which the noncommuting graph is a split graph
(University of Isfahan, 2017-03-01)The noncommuting graph $nabla (G)$ of a group $G$ is a simple graph whose vertex set is the set of noncentral elements of $G$ and the edges of which are the ones connecting two noncommuting elements. We determine here, up ...
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Shen's conjecture on groups with given same order type
(University of Isfahan, 2017-03-01)For any group $G$, we define an equivalence relation $thicksim$ as below: [forall g, h in G gthicksim h Longleftrightarrow |g|=|h|] the set of sizes of equivalence classes with respect to this relation is ...