20 citations · 31 across the 11 of their papers we have counts for
5 papers · 1 filter
On -rationality in double covers of symmetric and alternating groups
Olivier Brunat, Rishi Nath
We construct, for every odd prime , a bijection between the -spin characters and those of a Sylow normalizer which, in particular, is equivariant under the…
Galois Automorphisms And Littlewood Decompositions
Olivier Brunat, Rishi Nath
The study of modular representation theory of the double covering groups of the symmetric and alternating groups reveals rich and subtle combinatorial and algebraic phenomena invol…
The Navarro Conjecture for the alternating groups
Olivier Brunat, Rishi Nath
Recently Navarro proposed a strengthening of the unsolved McKay conjecture using Galois automorphisms. We prove that the Navarro conjecture holds for the alternating groups when th…
Congruences for spin characters of the double covers of the symmetric and alternating groups
Rishi Nath, James A. Sellers
Let be an odd prime. The bar partitions with sign and -bar-core partitions with sign respectively label the spin characters and -defect zero spin characters of the double…
A note on the Navarro conjecture for alternating groups with abelian defect
Rishi Nath
In [7], G. Navarro proposed a refinement of the McKay conjecture involving a special class of Galois automorphisms. In [6] this new conjecture was verified by the author for the al…