2014 USNA math honors talks - Jordan Lynch
Channel: usnamathweb
Date: 2014-05-06

For a finite field K and an integer n, consider the generalized symmetric group G(K,n), which can be viewed as the set of all n by n monomial matrices g with one non-zero element of K in each row and column of g. We want to determine when there is a one-to-one correspondence between Galios-fixed representations of G(E, n) and representations of G(F, n), where E/F is a finite extension of a finite field F. The answer is given explicitly when n = 2.