• Title of article

    On Fitting groups whose proper subgroups are solvable

  • Author/Authors

    Asar، Ali Osman نويسنده Ankara,Turkey ,

  • Issue Information
    فصلنامه با شماره پیاپی سال 2016
  • Pages
    18
  • From page
    7
  • To page
    24
  • Abstract
    This work is a continuation of [A‎. ‎O‎. ‎Asar‎, ‎On infinitely generated groups whose proper subgroups are solvable‎,  J‎. ‎Algebra, ‎399 (2014) 870886.]‎, ‎where it was shown‎ ‎that a perfect infinitely generated group whose proper subgroups‎ ‎are solvable and in whose homomorphic images normal closures of‎ ‎finitely generated subgroups are residually nilpotent is a Fitting‎ p-group for a prime p‎. ‎Thus this work is a study of a Fitting‎ p-group whose proper subgroups are solvable‎. ‎New‎ ‎characterizations and some sufficient conditions for the‎ ‎solvability of such a group are obtained‎.
  • Keywords
    Fitting groups , proper subgroup , Solvable Groups.
  • Journal title
    International Journal of Group Theory
  • Serial Year
    2016
  • Journal title
    International Journal of Group Theory
  • Record number

    2396652