Name
Title | ||
|---|---|---|
The irreducible characters of the Sylow -subgroups of the Chevalley groups D() and E(). |
Abstract | ||
|---|---|---|
We parametrize the set of irreducible characters of the Sylow p-subgroups of the Chevalley groups D6(q) and E6(q), for an arbitrary power q of any prime p. In particular, we establish that the parametrization is uniform for p≥3 in type D6 and for p≥5 in type E6, while the prime 2 in type D6 and the primes 2, 3 in type E6 yield character degrees of the form qm/pi which force a departure from the generic situations. Also for the first time in our analysis we see a family of irreducible characters of a classical group of degree qm/pi where i>1 which occurs in type D6. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.jsc.2019.02.001 | Journal of Symbolic Computation |
Keywords | DocType | Volume |
Irreducible characters,Sylow subgroups,Nonabelian cores,Bad primes | Journal | 95 |
ISSN | Citations | PageRank |
0747-7171 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tung Le | 1 | 37 | 5.87 |
| Kay Magaard | 2 | 5 | 2.15 |
| Alessandro Paolini | 3 | 0 | 0.34 |