Generation of classical groups over finite fields |
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Authors: | Hiroyuki Ishibashi |
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Institution: | Josai University Saitama, Japan |
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Abstract: | Let Un(V) and Spn(V) denote the unitary group and the symplectic group of the n dimensional vector space V over a finite field of characteristic not 2, respectively. Assume that the hyperbolic rank of Un(V) is at least one. Then Un(V) is generated by 4 elements and Spn(V) by 3 elements. Further, U2m+1(V) is generated by 3 elements and Sp4m(V) by 2 elements. |
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