On a Conjecture of J.S. Frame
Noboru Ιτο · Nagoya Mathematical Journal · 1967
Let be a transitive group of degree n, and let be the stabilizer of a symbol in ® . Then we owe to J.S. Frame the following remarkable relations between the lengths ni of the orbits of and the degrees fi of the absolutely irreducible components of the permutation matrix representation * of : (A) If the irreducible constituents of * are all different, then the rational number is an integer, where k is the number of the orbits of