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The Number of Generators of a Linear p-Group

Published online by Cambridge University Press:  20 November 2018

I. M. Isaacs
I. M. Isaacs*
Affiliation:
University of Wisconsin, Madison, Wisconsin
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Let G be a finite p-group, having a faithful character χ of degree f. The object of this paper is to bound the number, d(G), of generators in a minimal generating set for G in terms of χ and in particular in terms of f. This problem was raised by D. M. Goldschmidt, and solved by him in the case that G has nilpotence class 2.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 24 , Issue 5 , October 1972 , pp. 851 - 858
Copyright
Copyright © Canadian Mathematical Society 1972

References

1. Goldschmidt, D. M., 2-Signalizer functors on finite groups, J. Algebra 21 (1972), 321–340.Google Scholar