مرور Volume 1, Issue 1 بر اساس عنوان

  • The exact spread of M23 is 8064 

    Fairbairn, B. (University of Isfahan, 2012-03-01)
    Let $G$ be a finite group‎. ‎We say that $G$ has emph{spread} r if for any set of distinct non-trivial elements of $G$ $X:={x_1,ldots‎, ‎x_r}subset G^{#}$ there exists an element $yin G$ with the property that $langle ...

  • Locally finite p-groups with all subgroups either subnormal or nilpotent-by-Chernikov 

    Cutolo, G.؛ Smith, H. (University of Isfahan, 2012-03-01)
    ‎We pursue further our‎ ‎investigation‎, ‎begun in [H. Smith‎, ‎Groups with all subgroups subnormal or‎ ‎nilpotent-by-Chernikov‎, Rend‎. ‎Sem‎. ‎Mat‎. ‎Univ‎. ‎Padova, ‎126 (2011)‎, ...

  • On the relation between the non-commuting graph and the prime graph 

    Ahanjideh, N.؛ Iranmanesh, A. (University of Isfahan, 2012-03-01)
    ‎$pi(G)$ denote the set of prime divisors of the order of $G$ and‎ ‎denote by $Z(G)$ the center of $G$‎. ‎Thetextit{ prime graph} of‎ ‎$G$ is the graph with‎ ‎vertex set $pi(G)$ where two distinct primes $p$ and $q$ are‎ ...

  • Some remarks on regular subgroups of the affine group 

    Tamburini Bellani, M. Chiara (University of Isfahan, 2012-03-01)
    ‎Let $V$ be a vector space over a field $F$ of characteristic $pgeq 0$ and let‎ ‎$T$ be a regular subgroup of the affine group $AGL(V)$‎. ‎In the finite dimensional case we show that‎, ‎if $T$ is abelian or $p>0$‎, ‎then ...