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A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields
Jason FulmanP. M. NeumannCheryl E. Praeger
出版American Mathematical Soc., 2005
主題Mathematics / Algebra / LinearMathematics / CalculusMathematics / Discrete MathematicsMathematics / Group TheoryMathematics / Combinatorics
ISBN08218370609780821837061
URLhttp://books.google.com.hk/books?id=iObUCQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋Generating function techniques are used to study the probability that an element of a classical group defined over a finite field is separable, cyclic, semisimple or regular. The limits of these probabilities as the dimension tends to infinity are calculated in all cases, and exponential convergence to the limit is proved. These results complement and extend earlier results of the authors, G. E. Wall, and Guralnick & Lubeck.