Now showing items 1-4 of 4

    • Thumbnail

      Finite groups with subnormal non-cyclic subgroups 

      Monakhov, Victor; Trofimuk, Alexander (De Gruyter, 2014)
      In this paper we consider finite groups G such that every non-cyclic maximal subgroup in its Sylow subgroups is subnormal in G. In particular, we prove that such solvable groups have an ordered Sylow tower.
      2020-09-17
    • Thumbnail

      Finite groups with two supersoluble subgroups 

      Monakhov, Victor; Trofimuk, Alexander (de Gruyter, 2019)
      Let G be a finite group. In this paper we obtain some sufficient conditions for the supersolubility of G with two supersoluble non-conjugate subgroups H and K of prime index, not necessarily distinct. It is established ...
      2020-11-10
    • Thumbnail

      On a finite group having a normal series whose factors have bicyclic Sylow subgroups 

      Monakhov, Victor; Trofimuk, Alexander (Taylor & Francis Group, 2011)
      We consider the structure of a finite group having a normal series whose factors have bicyclic Sylow subgroups. In particular, we investigate groups of odd order and A4-free groups with this property. Exact estimations ...
      2020-11-10
    • Thumbnail

      Supersolubility of a finite group with normally embedded maximal subgroups in Sylow subgroups 

      Monakhov, Victor; Trofimuk, Alexander (Pleiades Publishing, Ltd.,, 2018)
      A subgroup A is called seminormal in a group G if there exists a subgroup B such that G = AB and AX is a subgroup of G for every subgroup X of B. Studying a group of the form G = AB with seminormal supersoluble subgroups ...
      2020-11-10