Erratum to Twisted Burnside–Frobenius theory for discrete groups (J. reine angew. Math. 613 (2007), 193–210)
-
Alexander Fel’shtyn
and
Evgenij Troitsky
Abstract
We correct a heavy misprint in our paper.
In the formulation of key technical Theorem 3.10, item (1) in [1] the words “f.g.” (finitely generated) are missed. The proof and the usage of this theorem for the main theorem of the paper supposes this restriction (i.e. this is just a misprint).
But this small misprint caused heavy consequences: an incorrect usage of this statement by inattentive readers caused incorrect proofs in their papers (e.g. [2] in the wreath products part). Also, to our knowledge, similar problems were detected by competent referees several times.
The correct formulation is as follows:
Theorem 3.10.
Suppose, the extension (3) satisfies the following conditions:
H is RP f.g.;
Then G has RP(ϕ).
References
[1] A. Fel’shtyn and E. Troitsky, Twisted Burnside–Frobenius theory for discrete groups, J. reine angew. Math. 613 (2007), 193–210. 10.1515/CRELLE.2007.097Search in Google Scholar
[2] F. K. Indukaev, The twisted Burnside theory for the discrete Heisenberg group and for the wreath products of some groups (Russian), Vestnik Moskov. Univ. Ser. I Mat. Mekh. (2007), no. 6, 9–17, 71; translation in Moscow Univ. Math. Bull. 62 (2007), no. 6, 219–227. 10.3103/S0027132207060022Search in Google Scholar
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Articles in the same Issue
- Frontmatter
- CD meets CAT
- Homological dimension of elementary amenable groups
- Translators asymptotic to cylinders
- Quantum singularity theory via cosection localization
- Proofs and reductions of various conjectured partition identities of Kanade and Russell
- T-dual solutions of the Hull–Strominger system on non-Kähler threefolds
- Integral operators, bispectrality and growth of Fourier algebras
- Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain
- Erratum to Twisted Burnside–Frobenius theory for discrete groups (J. reine angew. Math. 613 (2007), 193–210)
Articles in the same Issue
- Frontmatter
- CD meets CAT
- Homological dimension of elementary amenable groups
- Translators asymptotic to cylinders
- Quantum singularity theory via cosection localization
- Proofs and reductions of various conjectured partition identities of Kanade and Russell
- T-dual solutions of the Hull–Strominger system on non-Kähler threefolds
- Integral operators, bispectrality and growth of Fourier algebras
- Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain
- Erratum to Twisted Burnside–Frobenius theory for discrete groups (J. reine angew. Math. 613 (2007), 193–210)
