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essential subgroup
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(Definition)
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A subgroup $H$ of a group $G$ is essential if $H\cap K\neq\left\{ e\right\} $ for any subgroup $K$ of $G$ $K\neq\left\{ e\right\} $ (i.e., a subgroup $H$ of $G$ is called essential if it intersects non-trivially every non-trivial subgroup of $G$ .
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"essential subgroup" is owned by gh0st.
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Cross-references: intersects, group, subgroup
There is 1 reference to this entry.
This is version 2 of essential subgroup, born on 2005-09-28, modified 2005-09-29.
Object id is 7387, canonical name is EssentialSubgroup.
Accessed 1260 times total.
Classification:
| AMS MSC: | 20F99 (Group theory and generalizations :: Special aspects of infinite or finite groups :: Miscellaneous) |
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Pending Errata and Addenda
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