Groups with dense normal subgroups |
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Authors: | Avino’am Mann |
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Institution: | (1) Hebrew University of Jerusalem, Israel;(2) University of Illinois, Urbana, Illinois |
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Abstract: | A group is said to have dense normal subgroups, if each non-empty open interval in its lattice of subgroups contains a normal
subgroup. The structure of this and related classes of groups is investigated. Typical results are: an infinite group with
dense ascendant subgroups is locally nilpotent: a nontorsion group with dense normal subgroups is abelian, etc. |
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Keywords: | |
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