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Kernels of projective representations of finite groups

✍ Scribed by É. M. Zhmud'


Publisher
Springer US
Year
1992
Tongue
English
Weight
833 KB
Volume
59
Category
Article
ISSN
1573-8795

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Projective Representations of Abelian Gr
✍ R.J Higgs 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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