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A non-Abelian analogue of Whitney’s 2-isomorphism theorem

✍ Scribed by Eric Katz


Book ID
120668496
Publisher
Springer
Year
2013
Tongue
English
Weight
359 KB
Volume
39
Category
Article
ISSN
0925-9899

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A class of non-abelian 2-groups containi
✍ D.B. Meisner; F.C. Piper; P.R. Wild 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 305 KB

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.