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Finite simple characteristic quotients of the free group of rank 2
William Y. Chen, Alex Lubotzky, Pham Huu Tiep
In this paper we describe how to explicitly construct infinitely many finite simple groups as characteristic quotients of the rank 2 free group . This shows that a "baby" vers…
Squares of Conjugacy Classes in Alternating Groups
Michael J. Larsen, Pham Huu Tiep
We extend to alternating groups several results about symmetric groups asserting that under various conditions on a conjugacy class, or more generally, a normal subset, o…
The Field of Values of the Height Zero Characters
Gabriel Navarro, Lucas Ruhstorfer, Pham Huu Tiep +1
We determine what are the fields of values of the irreducible -height zero characters of all finite groups for ; we conjecture what they should be for odd primes, and reduc…
Symmetric Powers
János Kollár, Pham Huu Tiep
Given a faithful finite-dimensional representation of a finite group over any field , we show that any irreducible -module appears, as a subm…
The conjugation representation of the binary modular congruence group
Pham Huu Tiep
Motivated by the study of an Hecke action on iterated Shimura integrals undertaken in [H], in this appendix to [H] we prove that, for any prime and for any integer $n \g…