Group-Pattern Matrices

This title is printed to order. This book may have been self-published. If so, we cannot guarantee the quality of the content. In the main most books will have gone through the editing process however some may not. We therefore suggest that you be aware of this before ordering this book. If in doubt check either the author or publisher’s details as we are unable to accept any returns unless they are faulty. Please contact us if you have any questions.

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.

A group-pattern 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.

A group-pattern matrix 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.