On faithful projective representations of finite abelian p-groups over a field of characteristic p
Leonid F. Barannyk
Colloquium Mathematicae, Tome 111 (2008), p. 135-147 / Harvested from The Polish Digital Mathematics Library
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Let G be a noncyclic abelian p-group and K be an infinite field of finite characteristic p. For every 2-cocycle λ ∈ Z²(G,K*) such that the twisted group algebra KλG is of infinite representation type, we find natural numbers d for which G has infinitely many faithful absolutely indecomposable λ-representations over K of dimension d.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:286140 
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     title = {On faithful projective representations of finite abelian p-groups over a field of characteristic p},
     journal = {Colloquium Mathematicae},
     volume = {111},
     year = {2008},
     pages = {135-147},
     zbl = {1143.20006},
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Leonid F. Barannyk. On faithful projective representations of finite abelian p-groups over a field of characteristic p. Colloquium Mathematicae, Tome 111 (2008) pp. 135-147. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm111-1-12/