Invariants of the linear group modulo ๐^{๐}
M. M. Feldstein ยท Transactions of the American Mathematical Society ยท 1923
Professor L. E. Dickson in his paper A fundamenttal system of invariants of the gener al miodular linear group wvith a solttion of the forvi problemt' gave a fundamental system of invariants for the group of all linear homogeneous transformations in n variables with coefficients in the Galois field of order pf, denoted by GF[pn]. Dr. J. S. Turner extended the results for the biniary group in GF[p] to the binary group H witlh coefficients ranging over integers modulo p2 and the determinant of transformation congruent to unity modulo p2, This thesis deals with the invariants of the linear homogeneous group in n variables with the coefficients ranging over integers modulo pk, and the determinant of transformation congruent to unity modulo p. The writer avails himself of this occasion to express his gratitude to Professor Dickson for the conduct of this research and for suggesting both the problem and the group-theoretic principles applied in the followinig pages.