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A Jordan-Hölder theorem for differential algebraic groups
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cassidy, Phyllis Joan Singer, Michael F. |
| Copyright Year | 2010 |
| Abstract | Abstract We show that a differential algebraic group can be filtered by a finite subnormal series of differential algebraic groups such that successive quotients are almost simple, that is have no normal subgroups of the same type. We give a uniqueness result, prove several properties of almost simple groups and, in the ordinary differential case, classify almost simple linear differential algebraic groups. |
| Starting Page | 190 |
| Ending Page | 217 |
| Page Count | 28 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.jalgebra.2010.08.019 |
| Alternate Webpage(s) | http://www4.ncsu.edu/eos/users/s/singer/www/papers/Jordan_Hoelder.pdf |
| Alternate Webpage(s) | http://www4.ncsu.edu/~singer/papers/Jordan_Hoelder.pdf |
| Alternate Webpage(s) | http://www4.ncsu.edu/~singer/foraachen/Cassidy_singer.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/1003.3274v4.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.jalgebra.2010.08.019 |
| Volume Number | 328 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
