Combinatorial Aspects of Symmetric Designs by YURY J. IONIN and MOHAN S. SH

This book serves as a comprehensive research monograph, aiming to provide a unified exposition of the combinatorial aspects of symmetric designs. It emphasizes the recent developments in this field. The scope of the book encompasses the combinatorial aspects of the theory, with particular attention to the construction of symmetric designs and related objects. Recent results, previously unpublished in book form, are primarily developed in the last five chapters. These chapters delve into topics such as balanced generalized weighing matrices, decomposable symmetric designs, subdesigns of symmetric designs, non-embeddable quasi-residual designs, and Ryser designs. The preceding chapters on finite geometry, Hadamard matrices, resolvable designs, t-designs, strongly regular graphs, and difference sets underscore the relationships between these objects and symmetric designs.