The Number of Generators of a Linear
p-Group
1972 ◽
Vol 24
(5)
◽
pp. 851-858
◽
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.
Keyword(s):
2011 ◽
Vol 434
(8)
◽
pp. 1920-1944
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1973 ◽
Vol 15
(4)
◽
pp. 461-469
◽
2010 ◽
Vol 33
(2)
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pp. 147-159
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2013 ◽
Vol 16
◽
pp. 419-423
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1966 ◽
Vol 10
(4)
◽
pp. 579-591
◽