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Skew projective Abelian groups

✍ Scribed by S. Janakiraman


Book ID
108046827
Publisher
Elsevier Science
Year
1973
Weight
243 KB
Volume
76
Category
Article
ISSN
1385-7258

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Projective Representations of Abelian Gr
✍ R.J Higgs πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 113 KB

Let G be a finite elementary abelian p-group. Given a 2-cocycle ␣ of G over the field of complex numbers, we show how to construct an irreducible projective representation of G with 2-cocycle in the cohomology class of ␣. Let S be a 2 ## Ž . subgroup of G of index dividing p . Then we also count