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abnormal subgroup
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(Definition)
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A subgroup $H$ of a group $G$ is called an abnormal subgroup if $x\in\genby{H,xHx^{-1}}$ for all $x\in G$ .
Some facts about abnormal subgroups:
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"abnormal subgroup" is owned by yark.
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(view preamble | get metadata)
| Also defines: |
abnormal, abnormality |
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Cross-references: pronormal subgroup, normalizer, maximal subgroups, self-normalizing, pronormal, group, subgroup
There is 1 reference to this entry.
This is version 1 of abnormal subgroup, born on 2006-12-18.
Object id is 8635, canonical name is AbnormalSubgroup.
Accessed 2101 times total.
Classification:
| AMS MSC: | 20E99 (Group theory and generalizations :: Structure and classification of infinite or finite groups :: Miscellaneous) |
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Pending Errata and Addenda
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