Qiong Guo

activity

20132026

p

-Sylow subgroups of finite classical groups

4 citations · 10 across the 7 of their papers we have counts for

collaborators

7 papers

math.RT2026

Coadjoint orbits of Row Closed Subgroups of $U_{n} (q)$

Qiong Guo, Richard Dipper

Let $n$ be a natural number, let $q$ be a prime power, and let $U_{n} (q)$ denote the group of unitriangular $n \times n$ matrices over the finite field $F_{q}$ with $q$ element…

math.RT2018★ 4 cited

On coadjoint orbits for $p$ -Sylow subgroups of finite classical groups

Qiong Guo, Markus Jedlitschky, Richard Dipper

Kirillov's orbit theory provides a powerful tool for the investigation of irreducible unitary representations of many classes of Lie groups. In a previous paper we used a modificat…

math.RT2017★ 1 cited

Orbit method for $p$ -Sylow subgroups of finite classical groups

Qiong Guo, Markus Jedlitschky, Richard Dipper

For the $p$ -Sylow subgroups $U$ of the finite classical groups of untwisted Lie type, $p$ an odd prime, we construct a monomial $C U$ -module $M$ which is isomorphic to the…

math.RT2017

On monomial linearisation and supercharacters of pattern subgroups

Qiong Guo, Richard Dipper

Column closed pattern subgroups $U$ of the finite upper unitriangular groups $U_{n} (q)$ are defined as sets of matrices in $U_{n} (q)$ having zeros in a prescribed set of columns beside…

math.RT2014★ 2 cited

$U_{n} (q)$ acting on flags and supercharacters

Richard Dipper, Qiong Guo

Let $U = U_{n} (q)$ be the group of lower unitriangular $n \times n$ -matrices with entries in the field $F_{q}$ with $q$ elements for some prime power $q$ and $n \in N$ . W…

math.RT2013

Irreducible constituents of minimal degree in supercharacters of the finite unitriangular groups

Richard Dipper, Qiong Guo

Let $q$ be a prime power and $U$ the group of lower unitriangular matrices of order $n$ for some natural number $n$ . We give a lower bound for the degrees of irreducible constituen…

math.RT2013★ 3 cited

On the U-module Structure of the Unipotent Specht Modules of Finite General Linear Groups

Qiong Guo

Let $q$ be a prime power, $G = G L_{n} (q)$ and let $U ⩽ G$ be the subgroup of (lower) unitriangular matrices in $G$ . For a partition $λ$ of $n$ denote the corresponding unipotent…

Coadjoint orbits of Row Closed Subgroups of Un​(q)

On coadjoint orbits for p-Sylow subgroups of finite classical groups

Orbit method for p-Sylow subgroups of finite classical groups