The generic dimension for a finite group G over a field F, denoted, is defined as the minimal number of parameters in a generic polynomial for G over F, or if no generic polynomial exists.
Examples:
Read more about this topic: Generic Polynomial
Famous quotes containing the words generic and/or dimension:
““Mother” has always been a generic term synonymous with love, devotion, and sacrifice. There’s always been something mystical and reverent about them. They’re the Walter Cronkites of the human race . . . infallible, virtuous, without flaws and conceived without original sin, with no room for ambivalence.”
—Erma Bombeck (20th century)
“Le Corbusier was the sort of relentlessly rational intellectual that only France loves wholeheartedly, the logician who flies higher and higher in ever-decreasing circles until, with one last, utterly inevitable induction, he disappears up his own fundamental aperture and emerges in the fourth dimension as a needle-thin umber bird.”
—Tom Wolfe (b. 1931)