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math.RT2003
Writing representations over proper sub-division rings
S. P. Glasby
Let E be a division ring and G a finite group of automorphisms of E whose elements are distinct modulo inner automorphisms of E. Given a representation ρ: B-> GL(d,E) of an F-algeb…
math.GR2003
Solvable groups with a given solvable length, and minimal composition length
S. P. Glasby
Let c(d) denote the minimal composition length of all finite solvable groups with solvable (or derived) length d. We prove that c(d) equals 0,1,2,4,5,7,8,13,15 when d=0,1,2,3,4,5,6…