Volume 6, Issue 1

 

ارسال های اخیر

  • Torsion units for some projected special linear groups 

    Gildea, Joe (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.

  • A characterization of soluble groups in which normality is a transitive relation 

    Vincenzi, Giovanni (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 ...

  • Shen's conjecture on groups with given same order type 

    Jafari Taghvasani, Leyli؛ Zarrin, Mohammad (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 ...

  • On bipartite divisor graph for character degrees 

    Moosavi, Seyed Ali (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 ...

  • Groups for which the noncommuting graph is a split graph 

    Akbari, Marzieh؛ Moghaddamfar, Alireza (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 ...

  • Lipschitz groups and Lipschitz maps 

    Poinsot, Laurent (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 ...