Results 171 to 180 of about 682,067 (218)

On Groups with all Subgroups Subnormal

Bulletin of the London Mathematical Society, 1985
It seems to be unknown whether every group G which has all its subgroups subnormal is soluble. Here it is shown that every such group G in which no nontrivial section is perfect, is hyperabelian and hence (by a result of Brookes) soluble.
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On cofactors of subnormal subgroups

Journal of Algebra and Its Applications, 2016
For a soluble finite group [Formula: see text] and a prime [Formula: see text] we let [Formula: see text], [Formula: see text]. We obtain upper bounds for the rank, the nilpotent length, the derived length, and the [Formula: see text]-length of a finite soluble group [Formula: see text] in terms of [Formula: see text] and [Formula: see text].
Monakhov, Victor, Sokhor, Irina
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On Certain Properties of Subnormal Subgroups

Canadian Journal of Mathematics, 1978
Main results. Let G be a group generated by two subnormal subgroups H and K. Denoting the class of nilpotent groups by 𝔑, and the limit of the lower central series by G𝔑, Wielandt showed in [14], for groups with a composition series ...
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A SUBGROUP LATTICE OF A FINITE SOLUBLE GROUP

Bulletin of the Australian Mathematical Society
A subgroup R of a finite group G is called weakly subnormal in G if R is not subnormal in G but it is subnormal in every proper overgroup of R in G . In this paper, weak subnormality is used to construct a subgroup lattice of a finite
A. BALLESTER-BOLINCHES, S. Kamornikov, O. L. Shemetkova   +2 more
semanticscholar   +1 more source

On subnormal subgroups of linear groups

Siberian Mathematical Journal, 2008
Summary: 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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Characters of subnormal subgroups ofM-groups

Archiv der Mathematik, 1984
By 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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Groups in which every finite subnormal subgroup is normal

Ricerche di Matematica, 2015
M. Chaboksavar, F. Giovanni
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Joins of almost subnormal subgroups

Archiv der Mathematik, 1989
A 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.

2004
zbMATH 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, 1982
The 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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