Group in which every subgroup is pronormal
From Groupprops
This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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Contents
Definition
A group in which every subgroup is pronormal is a group satisfying the condition that every pronormal subgroup of the group is a normal subgroup.
Formalisms
In terms of the Hamiltonian operator
This property is obtained by applying the Hamiltonian operator to the property: pronormal subgroup
View other properties obtained by applying the Hamiltonian operator
Relation with other properties
Stronger properties
Weaker properties
References
Journal references
- Transitivity of normality and pronormal subgroups by L. A. Kurdachenko and I. Ya. Subbotin, Combinatorial group theory, discrete groups, and number theory, Volume 421, Page 201 - 210(Year 2006): ^{}^{More info}