Testing matrix groups for primitivity

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Abstract

We describe an algorithm which seeks to decide whether or not a matrix group defined over a finite field acts to preserve blocks of imprimitivity and, if so, to find a block system. Implementations of the algorithm are publicly available. © 1996 Academic Press, Inc.

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Holt, D. F., Leedham-Green, C. R., O’Brien, E. A., & Rees, S. (1996). Testing matrix groups for primitivity. Journal of Algebra, 184(3), 795–817. https://doi.org/10.1006/jabr.1996.0285

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