# GENERATING FINITE NILPOTENT IRREDUCIBLE LINEAR GROUPS

@inproceedings{Dixon1993GENERATINGFN, title={GENERATING FINITE NILPOTENT IRREDUCIBLE LINEAR GROUPS}, author={John D. Dixon and L{\'a}szl{\'o} G. Kov{\'a}cs}, year={1993} }

(For simplicity, in the sequel we usually omit the square brackets indicating 'integer parts'.) The aim of this paper is to explore the corresponding questions concerning finite nilpotent irreducible linear groups over arbitrary fields. For the field of complex numbers, Isaacs [1] had done this long before [2], Let G be a finite irreducible linear group of degree d over the field of complex numbers, such that the order of G is a power of a prime p. It was shown by Isaacs [1] that there exist… CONTINUE READING

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