Results 151 to 160 of about 682,067 (218)

Inductive sources and subnormal subgroups

Archiv der Mathematik, 2004
By a character pair in a finite group \(G\) is meant a pair \((H,\theta)\), where \(H\leq G\) and \(\theta\in\text{Irr}(H)\). The group \(G\) acts on the set of character pairs by \((H,\theta)^g=(H^g,\theta^g)\), where \(g\in G\). The character \(\theta^g\) of \(H^g\) is defined by the formula \(\theta^g(h^g)=\theta(h)\) for \(h\in H\).
Isaacs, I. M., Lewis, Mark L.
openaire   +1 more source

A NOTE ON SUBNORMAL SUBGROUPS IN DIVISION RINGS CONTAINING SOLVABLE SUBGROUPS

Bulletin of the Australian Mathematical Society, 2023
Let D be a division ring and N be a subnormal subgroup of the multiplicative group $D^*$ . We show that if N contains a nonabelian solvable subgroup, then N contains a nonabelian free subgroup.
L. Q. Danh, T. T. Deo
semanticscholar   +1 more source

Finite groups whose non-σ-subnormal subgroups are TI-subgroups

Communications in Algebra, 2023
–In this paper, for every partition σ of the set of all primes, we obtain a complete classification of finite groups in which every subgroup is a σ-subnormal subgroup or a TI-subgroup.
X. Yi, Xian Wu, S. Kamornikov
semanticscholar   +1 more source

Subnormal Subgroups of Division Rings

Canadian Journal of Mathematics, 1963
Let K be a division ring. A subgroup H of the multiplicative group K′ of K is subnormal if there is a finite sequence (H = A0, A1, . . . , An = K′) of subgroups of K′ such that each Ai is a normal subgroup of Ai+1. It is known (2, 3) that if H is a subdivision ring of K such that H′ is subnormal in K′, then either H = K or H is in the centre Z(K) of K.
Herstein, I. N., Scott, W. R.
openaire   +2 more sources

Chains of Normalizers of Subnormal Subgroups

The American mathematical monthly, 2022
We investigate properties of a few series associated to subnormal subgroups of finite groups. For a subnormal subgroup of a finite group we show that there are subnormal series for which the normalizers of each subgroup in the series form a chain.
W. Cocke, I. Isaacs, Ryan McCulloch
semanticscholar   +1 more source

Torsion-free groups in which every subgroup is subnormal

Rendiconti Del Circolo Matematico Di Palermo, 2001
Carlo Casolo
semanticscholar   +3 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

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

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

Joins of σ-subnormal subgroups

Illinois Journal of Mathematics
26pp
Ferrara M., Trombetti M.
openaire   +2 more sources