JournalsjcaVol. 4, No. 1pp. 87–109

Polynomially weighted p\ell^p-completions and group homology

  • Alexander Engel

    Universität Regensburg, Germany
  • Clara Löh

    Universität Regensburg, Germany
Polynomially weighted $\ell^p$-completions and group homology cover
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Abstract

We introduce polynomially weighted p\ell^p-norms on the bar complex of a finitely generated group. We prove that, for groups of polynomial or exponential growth, the homology of the completed complex does not depend on the value of pp in the range (1,)(1,\infty).

Cite this article

Alexander Engel, Clara Löh, Polynomially weighted p\ell^p-completions and group homology. J. Comb. Algebra 4 (2020), no. 1, pp. 87–109

DOI 10.4171/JCA/40