Group in which every subgroup is pronormal

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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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VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions

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