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A class of non-abelian 2-groups containing Menon difference sets

✍ Scribed by D.B. Meisner; F.C. Piper; P.R. Wild

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 305 KB
Volume: 62
Category: Article
ISSN: 0378-3758
DOI: 10.1016/s0378-3758(96)00168-1

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✦ Synopsis

We show that every group in a certain class of 2-groups contains a Menon difference set. This provides further positive evidence for a conjecture of Dillon concerning 2-groups of order 22/ which contain a normal subgroup isomorphic to Z~. The conjecture, however, remains open.

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