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)
“By intervening in the Vietnamese struggle the United States was attempting to fit its global strategies into a world of hillocks and hamlets, to reduce its majestic concerns for the containment of communism and the security of the Free World to a dimension where governments rose and fell as a result of arguments between two colonels’ wives.”
—Frances Fitzgerald (b. 1940)