Abnormal subgroup
http://dbpedia.org/resource/Abnormal_subgroup an entity of type: WikicatSubgroupProperties
Inom gruppteori, en del av matematiken, är en abnormal delgrupp en delgrupp H av en grupp G så att varje x ∈ G befinner sig i delgruppen genererad av H och H x, där Hx betecknar xHx-1.
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In mathematics, specifically group theory, an abnormal subgroup is a subgroup H of a group G such that for all x in G, x lies in the subgroup generated by H and H x, where H x denotes the conjugate subgroup xHx−1. Here are some facts relating abnormality to other subgroup properties:
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Abnormal subgroup
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Abnormal delgrupp
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3593729
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987094472
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In mathematics, specifically group theory, an abnormal subgroup is a subgroup H of a group G such that for all x in G, x lies in the subgroup generated by H and H x, where H x denotes the conjugate subgroup xHx−1. Here are some facts relating abnormality to other subgroup properties:
* Every abnormal subgroup is a self-normalizing subgroup, as well as a contranormal subgroup.
* The only normal subgroup that is also abnormal is the whole group.
* Every abnormal subgroup is a , and every weakly abnormal subgroup is a self-normalizing subgroup.
* Every abnormal subgroup is a pronormal subgroup, and hence a , a paranormal subgroup, and a polynormal subgroup.
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Inom gruppteori, en del av matematiken, är en abnormal delgrupp en delgrupp H av en grupp G så att varje x ∈ G befinner sig i delgruppen genererad av H och H x, där Hx betecknar xHx-1.
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1892