Now showing items 1-7 of 7

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      Finite groups with restrictions on normal subgroups 

      Sokhor, Irina Leonidovna; Monakhov, Victor Stepanovich; Сохор, Ирина Леонидовна (2016)
      We investigate the structure of finite soluble groups all whose proper normal subgroups belong to some class of groups, namely a Fitting class and the class of all supersoluble groups.
      2020-11-10
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      Finite groups with seminormal or abnormal Sylow subgroups 

      Monakhov, Victor Stepanovich; Sokhor, Irina Leonidovna; Сохор, Ирина Леонидовна (University of Isfahan, 2020)
      Let G be a finite group in which every Sylow subgroup is seminormal or abnormal. We prove that G has a Sylow tower. We establish that if a group has a maximal subgroup with Sylow subgroups under the same conditions, then ...
      2020-09-17
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      Groups with $\mathfrak{A}^2$-subnormal subgroups 

      Сохор, Ирина Леонидовна; Sokhor, Irina Leonidovna; Monakhov, Victor Stepanovich (Institute of Mathematics of NAS of Ukraine, 2017)
      2020-11-11
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      ON FINITE π-SOLUBLE GROUPS WITH NO WIDE SUBGROUPS 

      Сохор, Ирина Леонидовна; Sokhor, Irina Leonidovna (2016)
      A subgroup H of a finite group G is said to be wide if each prime divisor of the order G divides the order H. We obtain the description of finite π-soluble groups with no wide maximal subgroups with π-number indices. We ...
      2020-11-10
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      On groups with biprimary subgroups of even order 

      Sokhor, Irina Leonidovna; Monakhov, Victor Stepanovich; Сохор, Ирина Леонидовна (2017)
      We investigate groups in which maximal subgroups of even order are primary or biprimary. We also research soluble groups with restriction on a number of prime devisors of some proper subgroup orders. We give applications ...
      2020-11-10
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      On groups with formational subnormal or self-normalizing subgroups 

      Сохор, Ирина Леонидовна; Sokhor, Irina Leonidovna (2019)
      We establish the structure of finite groups with F-subnormal or self-normalizing primary cyclic subgroups in case F is a subgroup-closed saturated superradical formation containing all nilpotent groups.
      2020-11-10
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      On groups with formational subnormal Sylow subgroups 

      Monakhov, Victor Stepanovich; Sokhor, Irina Leonidovna; Сохор, Ирина Леонидовна (De Gruyter, 2018)
      We investigate a finite group G with F-subnormal Sylow subgroups, where F is a subgroup-closed formation and A1A⊆F⊆NA. We prove that G is soluble and the derived subgroup of each metanilpotent subgroup is nilpotent. We ...
      2020-09-18