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On Certain Properties of Subnormal Subgroups
Canadian Journal of Mathematics, 1978Main results. Let G be a group generated by two subnormal subgroups H and K. Denoting the class of nilpotent groups by š, and the limit of the lower central series by Gš, Wielandt showed in [14], for groups with a composition series ...
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On subnormal subgroups of linear groups
Siberian Mathematical Journal, 2008Summary: We describe the subnormal subgroups of 2-dimensional linear groups over local and full rings in which 2 is invertible, as well as the subnormal subgroups of symplectic groups over local rings in which 2 is invertible.
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On Finite Factorized Groups with $${\mathbb{T}}X$$ T X -Subnormal Subgroups
Ukrainian Mathematical Journal, 2023V. Monakhov, A. Trofimuk
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On Products of $$\mathrm{F}^*(G)$$ -Subnormal Subgroups of Finite Groups
Mathematical Notes, 2022V. I. Murashka
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Characters of subnormal subgroups ofM-groups
Archiv der Mathematik, 1984By definition, a finite group G is called an M-group if each of its irreducible complex characters is induced from a linear character of a subgroup of G. In this paper several theorems are proved. The most important are Theorem 1: Let G be an M-group and let S be a subnormal subgroup of odd index in G.
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$${\mathbb {P}}$$ P -subnormal subgroups and the structure of finite groups
Ricerche di Matematica, 2021Ruifang Chen, Xianhe Zhao, Xiaoli Li
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Joins of almost subnormal subgroups
Archiv der Mathematik, 1989A subgroup X of a group G is almost subnormal in G if X has finite index in some subnormal subgroup of G. Several sufficient conditions are given for a join of almost subnormal subgroups to be almost subnormal.
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Groups with few non-subnormal subgroups.
2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DE FALCO, MARIA, MUSELLA, CARMELA
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Conditions for subnormality of a join of subnormal subgroups
Mathematical Proceedings of the Cambridge Philosophical Society, 1982The object of this paper is to prove a necessary and sufficient condition on two groups H, K for their join always to be subnormal in a group G whenever they are embedded subnormally in G.
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On generalised subnormal subgroups of finite groups
Ricerche di Matematica, 2021A. Ballester-Bolinches +2 more
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