3 papers
math.GR2009
On Gelfand models for finite Coxeter groups
Shripad M. Garge, Joseph Oesterle
A Gelfand model for a finite group is a complex linear representation of that contains each of its irreducible representations with multiplicity one. For a finite group …
math.GR2004
Arithmetic of algebraic groups
Shripad M. Garge
This thesis studies arithmetic of linear algebraic groups. It involves studying the properties of linear algebraic groups defined over global fields, local fields and finite fields…
math.GR2004
On the order of finite semisimple groups
Shripad M. Garge
It is a theorem of Artin, Tits et al. that a finite simple group is determined by its order, with the exception of the groups (A_3(2), A_2(4)) and (B_n(q), C_n(q)) for n > 2, q odd…