Abstract
We prove that the groups G for which the lattice of normal subgroups N(G) is factorial are exactly the UND-groups, that is the groups for which every normal subgroup have a unique normal complement, with finite length.
- Title
- Groups whose lattices of normal subgroups are factorial
- Creators - without role
- A. Rajhi - Manouba UniversityShaqra University
- Publication Details
- Algebra and discrete mathematics, Vol.30(2), pp.239-253
- Publisher
- Luhansk Taras Shevchenko Natl Univ
- Number of pages
- 15
- Identifiers
- 9929257708331
- Academic Unit
- Shaqra University
- Language
- English
- Resource Type
- Journal article