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EnglishThis paper is a new contribution to the study of regular subgroups of the affine group AGLn(F), for any field F. In particular we associate to each partition λ≠(1^{n+1}) of n+1 abelian regular subgroups in such a way that different partitions define non-conjugate subgroups. Moreover, we classify the regular subgroups of certain natural types for n≤4. Our classification is equivalent to the classification of split local algebras of dimension n+1 over F. Our methods, based on classical results of linear algebra, are computer free.
Pellegrini, M. A., Tamburini Bellani, M. C., More on regular subgroups of the affine group, <<LINEAR ALGEBRA AND ITS APPLICATIONS>>, 2016; (505): 126-151. [doi:10.1016/j.laa.2016.04.031] [http://hdl.handle.net/10807/77764]
| Autori: | |
| Titolo: | More on regular subgroups of the affine group |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.laa.2016.04.031 |
| Data di pubblicazione: | 2016 |
| Abstract: | This paper is a new contribution to the study of regular subgroups of the affine group AGLn(F), for any field F. In particular we associate to each partition λ≠(1^{n+1}) of n+1 abelian regular subgroups in such a way that different partitions define non-conjugate subgroups. Moreover, we classify the regular subgroups of certain natural types for n≤4. Our classification is equivalent to the classification of split local algebras of dimension n+1 over F. Our methods, based on classical results of linear algebra, are computer free. |
| Lingua: | Inglese |
| Rivista: | |
| Citazione: | Pellegrini, M. A., Tamburini Bellani, M. C., More on regular subgroups of the affine group, <<LINEAR ALGEBRA AND ITS APPLICATIONS>>, 2016; (505): 126-151. [doi:10.1016/j.laa.2016.04.031] [http://hdl.handle.net/10807/77764] |
| Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |
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