Primitivity of permutation groups, coherent algebras and matrices

Gareth A. Jones, Mikhail Klin, Yossi Moshe

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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.

Original languageEnglish
Pages (from-to)210-217
Number of pages8
JournalJournal of Combinatorial Theory. Series A
Volume98
Issue number1
DOIs
StatePublished - 1 Jan 2002

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

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