Patterns of commutativity: the commutant of the full pattern

Johnson, CR; Marques, MD

http://hdl.handle.net/10400.1/11482

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Authors

Johnson, CR

Marques, MD

Abstract(s)

Identified are a number of conditions on square patterns that are closely related to allowing commutativity with the full pattern. Implications and examples that show non-implications are given, along with a graph that summarizes the provided information. A complete description of commutativity with the full pattern is given in both the irreducible case and the reducible case in which there are two irreducible components.