Group-Pattern Matrices

<p>This mathematical monograph uses the concept of a group-pattern throughout to conveniently characterize various matrices of unusual historical interest. No prior knowledge about groups is needed. </p><p> A <em>group-pattern</em> for a group G having n elements is provided by the n x n interior of any multiplication table for G in which the identity element of G occupies each of the n principal diagonal positions. </p><p> A <em>group-pattern matrix</em> results when each group element in the group-pattern is replaced at each of its positions by an element of a given set. For the key specializations of this definition complete details and new viewpoints are presented.</p>