Pham Huu Tiep

collaborators

3 papers

math.RT2008

Representations of the general linear groups which are irreducible over subgroups

Alexander S. Kleshchev, Pham Huu Tiep

We classify all triples $(G, V, H)$ such that $S L_{n} (q) \leq G \leq G L_{n} (q)$ , $V$ is a representation of $G$ of dimension greater than one over an algebraically closed field $\FF$ of ch…

math.RT2008

Hall-Higman type theorems for semisimple elements of finite classical groups

Pham Huu Tiep, Alexander E. Zalesskii

We prove an analogue of the celebrated Hall-Higman theorem, which gives a lower bound for the degree of the minimal polynomial of any semisimple element of prime power order $p^{a}…

math.RT2008

Representations of finite special linear groups in non-defining characteristic

Alexander S. Kleshchev, Pham Huu Tiep

We determine precisely the number of irreducible summands of an irreducible cross characteristic representation of $G L_{n} (q)$ on restriction to $S L_{n} (q)$ . Combined with a recent…