Simple subrings of matrix rings over finite fields
نویسندگان
چکیده
منابع مشابه
Diagonal Matrix Reduction over Refinement Rings
Abstract: A ring R is called a refinement ring if the monoid of finitely generated projective R- modules is refinement. Let R be a commutative refinement ring and M, N, be two finitely generated projective R-nodules, then M~N if and only if Mm ~Nm for all maximal ideal m of R. A rectangular matrix A over R admits diagonal reduction if there exit invertible matrices p and Q such that PAQ is...
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Article history: Received 12 January 2012 Accepted 10 April 2012 Available online 15 June 2012
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The first part of this paper surveys generating functions methods in the study of random matrices over finite fields, explaining how they arose from theoretical need. Then we describe a probabilistic picture of conjugacy classes of the finite classical groups. Connections are made with symmetric function theory, Markov chains, Rogers-Ramanujan type identities, potential theory, and various meas...
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If G is a finite linear group over a field K such that char(K) | 6 |G|, there are various effective methods to calculate the invariant ring I of G, i.e., to find a finite system of generators of I as an algebra over K (see Sturmfels, 1993, Section 2; McShane, 1992; Kemper, 1993, 1994). These methods make use of the Reynolds operator, Molien’s formula, the Cohen–Macaulay property of invariant ri...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1976
ISSN: 0097-3165
DOI: 10.1016/0097-3165(76)90012-1