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Twisted product of cocycles and factorization of semi‐regular relative difference sets
Author(s) -
Chen Yu Qing
Publication year - 2008
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.20195
Subject(s) - mathematics , kronecker product , factorization , kronecker delta , hadamard transform , product (mathematics) , pure mathematics , combinatorics , algebra over a field , discrete mathematics , mathematical analysis , algorithm , geometry , physics , quantum mechanics
In this article, we introduce what we call twisted Kronecker products of cocycles of finite groups and show that the twisted Kronecker product of two cocycles is a Hadamard cocycle if and only if the two cocycles themselves are Hadamard cocycles. This enables us to generalize some known results concerning products and factorizations of central semi‐regular relative difference sets. © 2008 Wiley Periodicals, Inc. J Combin Designs 16: 431–441, 2008