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Groups whose lattices of normal subgroups are distributive

Published online by Cambridge University Press:  18 May 2009

Rolf Brandl
Rolf Brandl
Affiliation:
Rolf Brandl, Math. Institut, Am Hubland 12, D-8700 Würzburg, West Germany
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Various authors deal with distributive sublattices of the lattice ℒ(G) of subgroups of a group G. Perhaps the most basic result in this direction is due to O. Ore [9]: ℒ(G) is distributive if and only if G is locally cyclic.

In [11] and [12] finite groups with distributive lattices of subnormal subgroups were considered, while [3], [4], [7], [8], [10] and [13] deal with the case of groups G whose lattice N(G) of normal subgroups is distributive. Such groups were called DLN-groups in [10].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 31 , Issue 2 , May 1989 , pp. 183 - 188
Copyright
Copyright © Glasgow Mathematical Journal Trust 1989

References

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