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Isomorphic designs that are not multiplier equivalent

✍ Scribed by Neal Brand

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
418 KB
Volume
57
Category
Article
ISSN
0012-365X

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✦ Synopsis

In this paper interesting families of designs are constructed and studied. First, a family of cyclic 2-(4 n, 3, 2) designs is constructed with the property that each design has two different cyclic structures. This appears to be the first example of any cyclic t-(v, k, )t) designs which are isomorphic but not isomorphic by a multiplier. A related family of I-rotational 2-(2-4 n + 1, 3, 2) designs is also constructed with each having two different 1-rotational structures.

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A new method for construction of transformations T~:(X,., .~;, /~i)), i= 1,2, that are factors of each other but that are not measuretheoretically isomorphic is provided. This method uses ergodic product cocycles of the form (0 o Si'x (0oSi2 x ..., where (o:X~Z2 is a cocycle, S belongs to the centra