Abstract
We show that compatible functions can be lifted from quotients modulo distributive minimal normal subgroups. This enables us to describe the 1-affine complete groups with a distributive minimal normal subgroup. As an application, we characterise the k-affine complete finite Frobenius groups for every k ∈ N.
Original language | English |
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Pages (from-to) | 229-239 |
Number of pages | 11 |
Journal | Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg |
Volume | 73 |
Issue number | 1 |
DOIs | |
Publication status | Published - Dec 2003 |
Keywords
- Affine complete groups
- Compatible function
- Congruence preserving function
- Distributive minimal normal subgroup
- Frobenius groups