39 citations · 130 across the 39 of their papers we have counts for
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The Largest Irreducible Representations of Simple Groups
Michael Larsen, Gunter Malle, Pham Huu Tiep
Answering a question of I. M. Isaacs, we show that the largest degree of irreducible complex representations of any finite non-abelian simple group can be bounded in terms of the s…
Representation Growth in positive characteristic and conjugacy classes of maximal subgroups
Robert Guralnick, Michael Larsen, Pham Huu Tiep
We study the representation growth of alternating and symmetric groups in positive characteristic and restricted representation growth for the finite groups of Lie type. We show th…
A problem of Kollar and Larsen on finite linear groups and crepant resolutions
Robert Guralnick, Pham Huu Tiep
The notion of age of elements of complex linear groups was introduced by M. Reid and is of importance in algebraic geometry, in particular in the study of crepant resolutions and o…
Cycle indices for finite orthogonal groups of even characteristic
Jason Fulman, Jan Saxl, Pham Huu Tiep
We develop cycle index generating functions for orthogonal groups in even characteristic, and give some enumerative applications. A key step is the determination of the values of t…