Results 171 to 180 of about 243,406 (213)

Groups with finitely many normalizers of subnormal subgroups [PDF]

Journal of Algebra, 2006
The structure of soluble groups in which normality is a transitive relation is known. Here, groups with finitely many normalizers of subnormal subgroups are investigated, and the behavior of the Wielandt subgroup of such groups is described; moreover ...
Francesco de Giovanni, Fausto de Mari
exaly   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

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.
openaire   +1 more source

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
openaire   +2 more sources

Coradicals of subnormal subgroups

Algebra and Logic, 1995
IfF is a nonempty formation, then theF-coradical of a finite group G is the intersection of all those normal subgroups N of G for which G / N ∈F. We study the structure of theF-coradical of a group generated by two subnormal subgroups of a finite group.
S. F. Kamornikov, L. A. Shemetkov
openaire   +1 more source

Non-subnormal subgroups of groups

Journal of Pure and Applied Algebra, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Maximal Subgroups of Almost Subnormal Subgroups in Division Rings

Acta Mathematica Vietnamica, 2021
A subgroup \(H\) of \(G\) is called ``almost subnormal'' if there exists a finite sequence of subgroups \(H=H_1 < H_2 < \dots
openaire   +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.
openaire   +2 more sources

NILPOTENT SUBGROUPS OF GROUPS WITH ALL SUBGROUPS SUBNORMAL

Bulletin of the London Mathematical Society, 2003
The main result of this remarkable paper is the following theorem: If \(G\) is a group with all subgroups subnormal and \(S\) is a nilpotent subgroup, then the normal closure \(S^G\) is also nilpotent. It follows from here that a group with all subgroups subnormal is a Fitting group (i.e.
openaire   +2 more sources

Finite Groups with Subnormal Schmidt Subgroups

Siberian Mathematical Journal, 2004
A Shmidt group is a finite nonnilpotent group with nilpotent proper subgroups. Given a prime \(p\), a \(pd\)-group is a finite group such that \(p\) divides its order. The authors study the finite groups for which some Shmidt \(pd\)-subgroups are subnormal.
Knyagina, V. N., Monakhov, V. S.
openaire   +2 more sources

Chains of Normalizers of Subnormal Subgroups

The American Mathematical Monthly, 2022
William Cocke, I. M. Isaacs, Ryan McCulloch   +2 more
openaire   +2 more sources