Volume 7, Issue 4

 

ارسال های اخیر

  • The Maschke property for the Sylow $p$-sub-groups of the symmetric group $S_{p^n}$ 

    Green, David؛ H'ethelyi, ‎L.؛ Horv'ath, E. (University of Isfahan, 2018-12-01)
    ‎‎In this paper we prove that the Maschke property holds for coprime actions on some important classes of $p$-groups like‎: ‎metacyclic $p$-groups‎, ‎$p$-groups of $p$-rank two for $p>3$ and some weaker property holds in ...

  • Measuring cones and other thick subsets in free groups 

    Frenkel, Elizaveta؛ Remeslennikov, Vladimir (University of Isfahan, 2018-12-01)
    In this paper we investigate the special automata over finite rank free groups and estimate asymptotic characteristics of sets they accept‎. ‎We show how one can decompose an arbitrary regular subset of a finite rank free ...

  • On embedding of partially commutative metabelian groups to matrix groups 

    Timoshenko, E. I. (University of Isfahan, 2018-12-01)
    ‎The Magnus embedding of a free metabelian group induces the embedding of partially commutative metabelian group $S_Gamma$ in a group of matrices $M_Gamma$. Properties and the universal theory of the group $M_Gamma$ are studied.

  • Locally graded groups with a condition on infinite subsets 

    Faramarzi Salles, Asadollah؛ Pazandeh Shanbehbazari, Fatemeh (University of Isfahan, 2018-12-01)
    Let $G$ be a group‎, ‎we say that $G$ satisfies the property $mathcal{T}(infty)$ provided that‎, ‎every infinite set of elements of $G$ contains elements $xneq y‎, ‎z$ such that $[x‎, ‎y‎, ‎z]=1=[y‎, ‎z‎, ‎x]=[z‎, ‎x‎, ...

  • Automorphisms of a finite $p$-group with cyclic Frattini subgroup 

    Soleimani, Rasoul (University of Isfahan, 2018-12-01)
    Let $G$ be a group and $Aut^{Phi}(G)$ denote the group of all automorphisms of $G$ centralizing $G/Phi(G)$ elementwise‎. ‎In this paper‎, ‎we characterize the finite $p$-groups $G$ with cyclic Frattini subgroup for which ...