Name
Abstract | ||
|---|---|---|
. Given a simple non-trivial finite-dimensional Lie algebra L, fields and Chevalley groups , we first prove that is isomorphic to . Then we consider the case of Chevalley groups of twisted type . We obtain a result analogous to the previous one. Given perfect fields having the property that any element is either a square or the opposite of a square and Chevalley groups , then is isomorphic to . We apply our results to prove the decidability of the set of sentences true in almost all finite groups of the form L(K) where K is a finite field and L a fixed untwisted Chevalley type. |
Year | DOI | Venue |
|---|---|---|
1999 | 10.1007/s001530050131 | Arch. Math. Log. |
Keywords | Field | DocType |
finite field,lie algebra | Ultraproduct,Discrete mathematics,Combinatorics,Finite field,Perfect field,Isomorphism,Group of Lie type,Lie algebra,Finite group,Mathematics | Journal |
Volume | Issue | ISSN |
38 | 6 | 0933-5846 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Françoise Point | 1 | 21 | 10.04 |
| Universit ´ | 2 | 0 | 0.34 |