A sharp exponent bound for McFarland difference sets with p=2

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...

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Main Authors:	Ma, Siu Lun., Bernhard, Schmidt.
Other Authors:	School of Physical and Mathematical Sciences
Format:	Article
Language:	English
Published:	2009
Subjects:	DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics
Online Access:	https://hdl.handle.net/10356/91549 http://hdl.handle.net/10220/6065
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Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-91549
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spelling	sg-ntu-dr.10356-915492023-02-28T19:37:38Z A sharp exponent bound for McFarland difference sets with p=2 Ma, Siu Lun. Bernhard, Schmidt. School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics 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. Accepted version 2009-08-12T04:34:27Z 2019-12-06T18:07:41Z 2009-08-12T04:34:27Z 2019-12-06T18:07:41Z 1997 1997 Journal Article Ma, S. L., & Schmidt, B. (1997). A Sharp Exponent Bound for McFarland Difference Sets with p=2. Journal of Combinatorial Theory Series A, 80(2), 347-352. 0097-3165 https://hdl.handle.net/10356/91549 http://hdl.handle.net/10220/6065 10.1006/jcta.1997.2808 en Journal of combinatorial theory series A. 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. 7 p. application/pdf
institution	Nanyang Technological University
building	NTU Library
continent	Asia
country	Singapore Singapore
content_provider	NTU Library
collection	DR-NTU
language	English
topic	DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics
spellingShingle	DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics Ma, Siu Lun. Bernhard, Schmidt. A sharp exponent bound for McFarland difference sets with p=2
description	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.
author2	School of Physical and Mathematical Sciences
author_facet	School of Physical and Mathematical Sciences Ma, Siu Lun. Bernhard, Schmidt.
format	Article
author	Ma, Siu Lun. Bernhard, Schmidt.
author_sort	Ma, Siu Lun.
title	A sharp exponent bound for McFarland difference sets with p=2
title_short	A sharp exponent bound for McFarland difference sets with p=2
title_full	A sharp exponent bound for McFarland difference sets with p=2
title_fullStr	A sharp exponent bound for McFarland difference sets with p=2
title_full_unstemmed	A sharp exponent bound for McFarland difference sets with p=2
title_sort	sharp exponent bound for mcfarland difference sets with p=2
publishDate	2009
url	https://hdl.handle.net/10356/91549 http://hdl.handle.net/10220/6065
_version_	1759853948265562112

A sharp exponent bound for McFarland difference sets with p=2

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