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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Bibliographic Details
Main Authors: Ma, Siu Lun., Bernhard, Schmidt.
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2009
Subjects:
Online Access:https://hdl.handle.net/10356/91549
http://hdl.handle.net/10220/6065