Nontrivial difference sets in groups of order a power of 2 are part of the family of difference sets called Hadamard difference sets. In the abelian case, a group of order 2 2 tq2 has a difference set if and only if the exponent of the group is less tq 2 Ε½ than or equal to 2 . In a previous work R.
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A Note on Certain 2-Groups with Hadamard Difference Sets
β Scribed by J. E. Iiams
- Book ID
- 110299218
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 42 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0925-1022
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## Abstract Let __M__ be an arbitrary structure. Then we say that an __M__ βformula __Ο__ (__x__) __defines a stable set in__ __M__ if every formula __Ο__ (__x__) β§ __Ξ±__ (__x__, __y__) is stable. We prove: If __G__ is an __M__ βdefinable group and every definable stable subset of __G__ has __U__ β
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