Multiplier Theorems

Authors

• K. T. Arasu, Wright State University - Main CampusFollow
• Qing Xiang, Wright State University

Document Type

Article

Publication Date

1995

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Abstract

We state and prove a multiplier theorem for a central element A of ZG, the group ring over Z of a group G. This generalizes most previously known multiplier theorems for difference sets and divisible difference sets. We also provide applications to show that our theorem provides new multipliers and establish the nonexistence of a family of divisible difference sets which correspond to elliptic semiplanes admitting a regular collineation group.

Repository Citation

Arasu, K. T., & Xiang, Q. (1995). Multiplier Theorems. Journal of Combinatorial Designs, 3 (4), 257-268.
https://corescholar.libraries.wright.edu/math/579

DOI

10.1002/jcd.3180030403