Results 11 to 20 of about 65 (49)
Seminormal and subnormal subgroup lattices for transitive permutation groups [PDF]
Journal of the Australian Mathematical Society, 2006 AbstractVarious lattices of subgroups of a finite transitive permutation group G can be used to define a set of ‘basic’ permutation groups associated with G that are analogues of composition factors for abstract finite groups. In particular G can be embedded in an iterated wreath product of a chain of its associated basic permutation groups.
openaire +2 more sources
Seminormal graded rings and weakly normal projective varieties
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 2, Page 231-240, 1985., 1985 This paper is concerned with the seminormality of reduced graded rings and the weak normality of projective varieties. One motivation for this investigation is the study of the procedure of blowing up a non‐weakly normal variety along its conductor ideal.
John V. Leahy, Marie A. Vitulli
wiley +1 more source
Journal of Algebra, 1994 A subgroup \(H\) of a finite group \(G\) is defined to be seminormal in \(G\) if it permutes with every subgroup of \(G\) whose order is relatively prime to the order of \(H\). Clearly a subgroup of prime index in \(G\) is seminormal in \(G\), and the author shows this is necessary when \(G\) is simple and \(H\) is proper and nontrivial.
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On the residual of a finite group with semi-subnormal subgroups [PDF]
, 2020 A subgroup A of a group G is called seminormal in G, if there exists a subgroup B such that G = AB and AX is a subgroup of G for every subgroup X of B. We introduce the new concept that unites subnormality and seminormality.
Trofimuk, Alexander
core
Supersolubility of a finite group with normally embedded maximal subgroups in Sylow subgroups [PDF]
, 2018 A subgroup A is called seminormal in a group G if there exists a subgroup B such that G = AB and AX is a subgroup of G for every subgroup X of B. Studying a group of the form G = AB with seminormal supersoluble subgroups A and B, we prove that GU = (G )
Trofimuk, Alexander, Monakhov, Victor
core
Representations of the q-rook monoid
, 2004 The q-rook monoid In(q) is a semisimple algebra over C(q) that specializes when q→1 to C[Rn], where Rn is the monoid of n×n matrices with entries from {0,1} and at most one nonzero entry in each row and column.
Halverson, Tom
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A survey article on some subgroup embeddings and local properties for soluble PST-groups
, 2017 Let G be a group and p a prime number. G is said to be a Yp-group if whenever K is a p-subgroup of G then every subgroup of K is an S-permutable subgroup in NG(K). The group G is a soluble PST-group if and only if G is a Yp-group for all primes p. One
Beidleman, J.C.
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Finite groups with two supersoluble subgroups [PDF]
, 2019 Let G be a finite group. In this paper we obtain some sufficient conditions for the supersolubility of G with two supersoluble non-conjugate subgroups H and K of prime index, not necessarily distinct. It is established that the supersoluble residual of
Trofimuk, Alexander, Monakhov, Victor
core
Product-one sequences over finite groups : Algebraic, Arithmetic, and combinatorial aspects
, 2019 Unter einer Folge S über einer endlichen Gruppe G versteht man eine endliche ungeordnete Folge von Elementen aus G mit Wiederholung. Man bezeichnet S als Produkt-Eins Folge, wennihre Terme so angeordnet werden können, dass ihr Produkt das Einselement von
Oh, Junseok
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О разрешимости конечной группы с S-полунормальными подгруппами Шмидта
, 2018 A finite nonnilpotent group is called a Schmidt group if all its proper subgroups are nilpotent. A subgroup A is called S-seminormal (or SS-permutable) in a finite group G if there is a subgroup B such that G = AB and A is permutable with every Sylow ...
Княгина, В.Н. +2 more
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