مرور Volume 1, Issue 2 بر اساس تاریخ انتشار

  • Refined solvable presentations for polycyclic groups 

    Hartung, René؛ Traustason, Gunnar (University of Isfahan, 2012-06-01)
    ‎We describe a new type of presentation that‎, ‎when consistent‎, ‎describes a polycyclic group‎. ‎This presentation is obtained by‎ ‎refining a series of normal subgroups with‎ ‎abelian sections‎. ‎These presentations can ...

  • The prolongation of central extensions 

    Tien Quang, Nguyen؛ Phung, Che Thi Kim؛ Cuc, Pham Thi (University of Isfahan, 2012-06-01)
    The aim of this paper is to study the $(alpha‎, ‎gamma)$-prolongation of central extensions‎. ‎We obtain the obstruction theory for $(alpha‎, ‎gamma)$-prolongations and classify $(alpha‎, ‎gamma)$-prolongations thanks to ...

  • The automorphism group for $p$-central $p$-groups 

    Thillaisundaram, Anitha (University of Isfahan, 2012-06-01)
    A $p$-group $G$ is $p$-central if $G^{p}le Z(G)$‎, ‎and $G$ is‎ ‎$p^{2}$-abelian if $(xy)^{p^{2}}=x^{p^{2}}y^{p^{2}}$ for all $x,yin‎ ‎G$‎. ‎We prove that for $G$ a finite $p^{2}$-abelian $p$-central‎ ‎$p$-group‎, ‎excluding ...

  • Groups with reality and conjugacy conditions 

    Chillag, David؛ Longobardi, Patrizia؛ Maj, Mercede (University of Isfahan, 2012-06-01)
    Many results were proved on the structure of finite groups with some‎ ‎restrictions on their real elements and on their conjugacy classes‎. ‎We‎ ‎generalize a few of these to some classes of infinite groups‎. ‎We study ...