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Title:
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A sharp exponent bound for McFarland difference sets with p=2.
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Author:
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Ma, Siu Lun.; Bernhard, Schmidt.
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Copyright year:
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1997 |
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Abstract:
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We show that under the self-conjugacy condition a McFarland difference set with p=2 and f≥ in an abelian group G can only exist,if the exponent of the Sylow 2-subgroups does not exceed 4.The method also works for odd p(where the exponent bound is p and is necessary and sufficient),so that we obtain a unified proof of the exponent bounds for MacFarland difference sets.We also correct a mistake in the proof of an exponent bound for (320,88,24)-difference sets in a previous paper. |
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Subject:
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DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics. |
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Type:
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Journal Article |
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Series/ Journal Title:
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Journal of combinatorial theory series A. |
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School:
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School of Physical and Mathematical Sciences |
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Rights:
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Journal of combinatorial theory series A © copyright 1997 Elsevier. The journal's website is located at http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WHS-45M2VN1-Y&_user=10&_rdoc=1&_fmt=&_orig=search&_sort=d&_docanchor=&view=c&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=3841d3c75767e278ab1ea79822038c24. |
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Version:
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Accepted version |
