Constructing characters of Sylow p-subgroups of finite Chevalley groups

Irreducible characters of Sylow $p$-subgroups of the Steinberg triality groups ${}^3D_4(p^{3m})$

‎‎Here we construct and count all ordinary irreducible characters of Sylow $p$-subgroups of the Steinberg triality groups ${}^3D_4(p^{3m})$.

CALCULATING CONJUGACY CLASSES IN SYLOW p-SUBGROUPS OF FINITE CHEVALLEY GROUPS

In [8, §8], the first author outlined an algorithm for calculating a parametrization of the conjugacy classes in a Sylow p-subgroup U(q) of a finite Chevalley group G(q), valid when q is a power of a good prime for G(q). In this paper we develop this algorithm and discuss an implementation in the computer algebra language GAP. Using the resulting computer program we are able to calculate the pa...

irreducible characters of sylow $p$-subgroups of the steinberg triality groups ${}^3d_4(p^{3m})$

‎‎here we construct and count all ordinary irreducible characters of sylow $p$-subgroups of the steinberg triality groups ${}^3d_4(p^{3m})$.

p-RATIONAL CHARACTERS AND SELF-NORMALIZING SYLOW p-SUBGROUPS

Let G be a finite group, p a prime, and P a Sylow p-subgroup of G. Several recent refinements of the McKay conjecture suggest that there should exist a bijection between the irreducible characters of p′-degree of G and the irreducible characters of p′-degree of NG(P ), which preserves field of values of correspondent characters (over the p-adics). This strengthening of the McKay conjecture has ...

Finite Groups with p-Sylow Coverings