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We fill in a gap in the proof of the main theorem in our earlier paper [Ol]. At the same time, we prove a slightly stronger version of the theorem needed for another paper.

Group Theory · Mathematics 2021-09-17 Bob Oliver

We point out some minor errors in a paper by the first author, and explain why they do not affect the main results in the paper.

Group Theory · Mathematics 2025-03-31 Alex Gonzalez , Bob Oliver

We provide some corrections and clarifications to the paper [Gr3] of the title. In particular, we clarify the "left/right" conventions on complex reflection groups and their braid groups. Most importantly, we fill in a gap related to the…

Algebraic Geometry · Mathematics 2020-02-27 Mikhail Grinberg

We make two tiny corrections to our previous paper with the same title, and also obtain, as a bonus, something new.

Complex Variables · Mathematics 2007-11-06 Judith Brinkschulte , C. Denson Hill , Mauro Nacinovich

This brief note corrects some errors in the paper quoted in the title, highlights a combinatorial result which may have been overlooked, and points to further improvements in recent literature.

Algebraic Geometry · Mathematics 2008-02-03 J. Maurice Rojas

In this note, the correction to the proof of one theorem in some our previous paper [arXiv:1302.0589] will be given.

Rings and Algebras · Mathematics 2020-02-18 Bui Xuan Hai

This expository article introduces the topic of roots in a compact Lie group. Compared to the many other treatments of this standard topic, I intended for mine to be relatively elementary, example-driven, and free of unnecessary…

Differential Geometry · Mathematics 2009-08-31 Kristopher Tapp

We explicitly fix a mistake in a preliminary statement of our previous paper on the conductor at a multiplanar singularity. The correction is not immediate and, though the mistake does not affect correctness of the subsequent results, the…

Commutative Algebra · Mathematics 2019-03-05 Alessandro De Paris , Ferruccio Orecchia

We correct an error in the paper referred to in the title. Part of the argument is organized as a general method for establishing when (derived) functors factor through a fixed Serre subcategory, which may be of some more general interest.

Algebraic Topology · Mathematics 2026-02-25 Byung Hee An , Gabriel C. Drummond-Cole , Ben Knudsen

In this note we document a gap in an argument in the above paper, and point to new work in the literature giving a complete proof of the main result.

Dynamical Systems · Mathematics 2026-02-24 Jorge Fariña-Asategui , Rafe Jones , Santiago Radi

In this note we point out an error in the above paper and refer to some papers where this error is corrected and a more general theorem is proved.

Geometric Topology · Mathematics 2007-05-23 S. K. Roushon

This paper corrects an error in the authors' earlier work, by proving stronger forms of the basic lemmas

Algebraic Geometry · Mathematics 2022-04-20 Lucia Caporaso , Joe Harris , Barry Mazur

This is a long introduction to the theory of "branch groups": groups acting on rooted trees which exhibit some self-similarity features in their lattice of subgroups.

Group Theory · Mathematics 2009-11-27 Laurent Bartholdi , Rostislav I. Grigorchuk , Zoran Sunik

We amend the statement of point~(i) in Theorem~1.3 in arxiv:0901.1022 and supply the additional arguments and minor changes for the results that depend on it. We also seize the occasion and generalize to non-finitely generated lattices.

Group Theory · Mathematics 2019-08-29 Pierre-Emmanuel Caprace , Nicolas Monod

A gap in the proof of Theorem 3.5 in the paper ``A new iteration process for approximation of common fixed points for finite families of total asymtotically nonexpansive mappings". Int. J. Math. Math. Sci. vol. 2009,…

Functional Analysis · Mathematics 2012-04-10 C. E. Chidume , E. U. Ofoedu

In our paper arXiv:1310.6289, we stated that acylindrical hyperbolicity of a group is invariant under commensurability up to finite kernels. Unfortunately, the proof of this fact contained a gap. The goal of this erratum is to point out the…

Group Theory · Mathematics 2018-03-19 A. Minasyan , D. Osin

We discuss some new results concerning Gap Conjecture on group growth and present a reduction of it (and its *-version) to several special classes of groups. Namely we show that its validity for the classes of simple groups and residually…

Group Theory · Mathematics 2012-09-19 Rostislav Grigorchuk

Diese kurze Einfuehrung in Theorie und Berechnung linearer Rekurrenzen versucht, eine Luecke in der Literatur zu fuellen. Zu diesem Zweck sind viele ausfuehrliche Beispiele angegeben. This short introduction to theory and usage of linear…

History and Overview · Mathematics 2007-05-23 Ralf Stephan

This short note is an erratum to arXiv:1306.4304, correcting the proof of one of its main results. It includes some counterexamples regarding infinite-dimensional unipotent groups and affine spaces that may be of independent interest.

Algebraic Geometry · Mathematics 2015-12-14 Dennis Gaitsgory , Sam Raskin

This is an erratum to an earlier paper, "Generalizations of the Poincar\'e-Birkhoff theorem." An error in the statement of one of the theorems is corrected.

Dynamical Systems · Mathematics 2007-05-25 John Franks
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