99 citations · 492 across the 111 of their papers we have counts for
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Symmetric powers and a problem of Kollar and Larsen
Robert M. Guralnick, Pham Huu Tiep
We prove a conjecture of Kollar and Larsen on Zariski closed subgroups of which act irreducibly on some symmetric power with . This conjecture has in…
Presentations of finite simple groups: a computational approach
R. M. Guralnick, W. M. Kantor, M. Kassabov +1
All nonabelian finite simple groups of rank over a field of size , with the possible exception of the Ree groups , have presentations with at most rel…
Characteristic polynomials of automorphisms of hyperelliptic curves
Robert M. Guralnick, Everett W. Howe
Let alpha be an automorphism of a hyperelliptic curve C of genus g, and let alpha' be the automorphism of P^1 induced by alpha. Let n be the order of alpha and let n' be the order…
Nonisomorphic curves that become isomorphic over extensions of coprime degrees
Daniel Goldstein, Robert M. Guralnick, Everett W. Howe +1
We show that one can find two nonisomorphic curves over a field K that become isomorphic to one another over two finite extensions of K whose degrees over K are coprime to one anot…