Results 141 to 150 of about 529 (196)

On Groups in Which Normality Is a Transitive Relation

open access: yesCommunications in Algebra, 2012
A subgroup H of a group G is said to be weakly normal if H g  = H whenever g is an element of G such that H g  ≤ N G (H). There is a strictly relation between weak normality and groups in which normality is a transitive relation ( T-groups). In [Ballester-Bolinches, A., Esteban-Romero, R. (2003). On finite T-groups. J. Aust. Math. Soc.
Alessio Russo
exaly   +3 more sources

Groups whose non-normal subgroups have a transitive normality relation

open access: yesRendiconti Del Circolo Matematico Di Palermo, 2001
The structure of T-groups (or groups for which the normality relation in \(G\) is transitive), were described by Gaschütz for finite soluble groups and by Robinson for infinite soluble groups. Later, Romalis and Sesekin investigated the meta-Hamiltonian groups or groups whose non-normal subgroups are Abelian. The class of minimal-non-T groups and the \(
Alessio Russo, Giovanni Vincenzi
exaly   +4 more sources

Uncountable groups in which normality is a transitive relation

open access: yesInternational Journal of Algebra and Computation, 2019
A group is called a [Formula: see text]-group if all its subnormal subgroups are normal. It is proved here that if [Formula: see text] is an uncountable soluble periodic group of regular cardinality [Formula: see text] in which all subnormal subgroups of cardinality [Formula: see text] are normal, then [Formula: see text] is a [Formula: see text]-group,
Maria De Falco   +3 more
openaire   +4 more sources

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