43 citations · 213 across the 16 of their papers we have counts for
4 papers · 1 filter
On the Surjectivity of Engel Words on PSL(2,q)
Tatiana Bandman, Shelly Garion, Fritz Grunewald
We investigate the surjectivity of the word map defined by the n-th Engel word on the groups PSL(2,q) and SL(2,q). For SL(2,q), we show that this map is surjective onto the subset…
Highly Transitive Actions of Out(Fn)
Shelly Garion, Yair Glasner
An action of a group on a set is called k-transitive if it is transitive on ordered k-tuples and highly transitive if it is k-transitive for every k. We show that for n>3 the group…
Beauville surfaces and finite simple groups
Shelly Garion, Michael Larsen, Alexander Lubotzky
A Beauville surface is a rigid complex surface of the form (C1 x C2)/G, where C1 and C2 are non-singular, projective, higher genus curves, and G is a finite group acting freely on…
On Beauville Structures for PSL(2,q)
Shelly Garion
We characterize Beauville surfaces of unmixed type with group either PSL(2,p^e) or PGL(2,p^e), thus extending previous results of Bauer, Catanese and Grunewald, Fuertes and Jones,…