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Multiplier theorems
Author(s) -
Arasu K. T.,
Xiang Qing
Publication year - 1995
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.3180030403
Subject(s) - mathematics , multiplier (economics) , difference set , element (criminal law) , combinatorics , schur multiplier , discrete mathematics , group (periodic table) , pure mathematics , alternating group , symmetric group , law , abelian group , political science , economics , macroeconomics , chemistry , organic chemistry
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. © 1995 John Wiley & Sons, Inc.