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math.GR2006
Parabolic conjugacy in general linear groups
Simon M. Goodwin, Gerhard Roehrle
Let q be a power of a prime and n a positive integer. Let P(q) be a parabolic subgroup of the finite general linear group GL(n,q). We show that the number of P(q)-conjugacy classes…
math.GR2006
Complete Reducibility and Commuting Subgroups
M. Bate, B. M. S. Martin, G. E. Roehrle
Let G be a reductive linear algebraic group over an algebraically closed field of characteristic p. We study J.-P. Serre's notion of G-complete reducibility for subgroups of G. In…
math.GR2006
The orbit structure of Dynkin curves
Simon M. Goodwin, Lutz Hille, Gerhard Roehrle
Let G be a simple algebraic group over an algebraically closed field k; assume that Char k is zero or good for G. Let \cB be the variety of Borel subgroups of G and let e in Lie G…