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About: Pronormal subgroup     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : dbo:EthnicGroup, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:WikicatSubgroupPropertiesyago:Abstraction100002137yago:Possession100032613yago:Property113244109yago:Relation100031921ethnic group New Facet based on Instances of this Class

In mathematics, especially in the field of group theory, a pronormal subgroup is a subgroup that is embedded in a nice way. Pronormality is a simultaneous generalization of both normal subgroups and abnormal subgroups such as Sylow subgroups, . A subgroup is pronormal if each of its conjugates is conjugate to it already in the subgroup generated by it and its conjugate. That is, H is pronormal in G if for every g in G, there is some k in the subgroup generated by H and Hg such that Hk = Hg. (Here Hg denotes the conjugate subgroup gHg-1.)