Cycle Indices for the Finite Classical Groups Running Title: Cycle Indices for the Nite Classical Groups
نویسنده
چکیده
This paper de nes and develops cycle indices for the nite classical groups. These tools are then applied to study properties of a random matrix chosen uniformly from one of these groups. Properties studied by this technique will include semisimplicity, regularity, regular semisimplicity, the characteristic polynomial, number of Jordan blocks, and average order of a matrix.
منابع مشابه
9 D ec 1 99 7 Cycle Indices for the Finite Classical
This paper deenes and develops cycle indices for the nite classical groups. These tools are then applied to study properties of a random matrix chosen uniformly from one of these groups. Properties studied by this technique will include semisimplicity, regularity, regular semisimplicity, the characteristic polynomial, number of Jordan blocks, and average order of a matrix.
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تاریخ انتشار 2008