The pronorm of a group G is the set of all elements such that X and are conjugate in for every subgroup X of G. In general the pronorm is not a subgroup, but we give evidence of some classes of groups in which this property holds. We also investigate the structure of a generalised soluble group G whose pronorm contains a subgroup of finite index.
On the pronorm of a group
Russo Alessio;
2021
Abstract
The pronorm of a group G is the set of all elements such that X and are conjugate in for every subgroup X of G. In general the pronorm is not a subgroup, but we give evidence of some classes of groups in which this property holds. We also investigate the structure of a generalised soluble group G whose pronorm contains a subgroup of finite index.File in questo prodotto:
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