A non-perfect surjective cellular cover of PSL(3,F(t))

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2 Scopus citations


Let F(t) be the function field in one variable over the finite field F. We construct a surjective cellular cover γ: G → PSL(3, F(t)), where G = G ○ E, G = St(3, F(t)), E = Ext(ℚ/ℤ K2(F(t))) and G ○ E is the commuting product with G ∩ E = K̃2(F(t)). Here K̃2(F(t)) is the kernel of St(3, F(t)) ↠ PSL(3, F(t)). Since G/[G, G] ≅ E/K̃2(F(t)) is a nontrivial torsion free divisible abelian group, this gives a negative answer to a question raised in the paper "Cellular covers of groups" (J. Pure and Applied Algebra 208 (2007)), by E. Farjoun, R. Göbel and the author. We asked whether a surjective cellular cover of a perfect group is perfect.

Original languageEnglish
Pages (from-to)757-762
Number of pages6
JournalForum Mathematicum
Issue number4
StatePublished - 1 Jul 2008

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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