Primitivity of Permutation Groups, Coherent Algebras and Matrices

Authors: Jones G.A.¹; Klin M.²; Moshe Y.²

Source: Journal of Combinatorial Theory, Series A, Volume 98, Number 1, April 2002 , pp. 210-217(8)

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Abstract:

A coherent algebra is F-primitive if each of its non-identity basis matrices is primitive in the sense of Frobenius. We investigate the relationship between the primitivity of a permutation group, the primitivity of its centralizer algebra, and F-primitivity. The results obtained are applied to give new proofs of primitivity criteria for the exponentiations of permutation groups and of coherent algebras. © 2002 Elsevier Science (USA).

Language: English

Document Type: Miscellaneous

Affiliations: 1: Faculty of Mathematical Studies, University of Southampton, Southampton, SO17 1BJ, United Kingdom 2: Department of Mathematics, Ben Gurion University of the Negev, Beer-Sheva, 84105, Israel

Publication date: 2002-04-01