T. Pham

activity

20102026

most citedConjugacy action, induced representations and the Steinberg square for simple groups of Lie type

39 citations · 130 across the 39 of their papers we have counts for

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Showing 2012Show all

3 papers · 1 filter

math.GR2012★ 39 cited

Conjugacy action, induced representations and the Steinberg square for simple groups of Lie type

Gerhard Heide, Jan Saxl, Pham Huu Tiep +1

Let $G$ be a finite simple group of Lie type, and let $π_{G}$ be the permutation representation of $G$ associated with the action of $G$ on itself by conjugation. We prove that every…

math.GR2012

Arithmetic results on orbits of linear groups

Michael Giudici, Martin W. Liebeck, Cheryl E. Praeger +2

Let $p$ be a prime and $G$ a subgroup of $G L_{d} (p)$ . We define $G$ to be $p$ -exceptional if it has order divisible by $p$ , but all its orbits on vectors have size coprime to $p$ . We…

math.GR2012

Products of conjugacy classes in finite and algebraic simple groups

Robert M. Guralnick, Gunter Malle, Pham Huu Tiep

We prove the Arad-Herzog conjecture for various families of finite simple groups- if A and B are nontrivial conjugacy classes, then AB is not a conjugacy class. We also prove that…