Comptes Rendus
Erratum - Number Theory
Corrigendum to “Symplectic and orthogonal K-groups of the integers”
Marco Schlichting1
1 Marco Schlichting, Mathematics Institute, Zeeman Building, University of Warwick, Coventry CV4 7AL, UK
Comptes Rendus. Mathématique, Volume 362 (2024), pp. 307-308
corrects Symplectic and orthogonal K-groups of the integers

The action of the duality functor on the odd torsion of K n (ℤ) was stated incorrectly in [3], in half of the cases, and lead to incorrect formulas for the odd primary torsion of π n BSp(ℤ) + and π n BO ∞,∞ (ℤ) + .

L’action du foncteur de dualité sur la torsion impaire de K n (ℤ) était énoncé incorrectement dans [3], dans la moitié des cas, et a conduit à des formules incorrectes pour la torsion primaire impaire de π n BSp(ℤ) + et π n BO ∞,∞ (ℤ) + .

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Published online:
DOI: 10.5802/crmath.606

Marco Schlichting 1

1 Marco Schlichting, Mathematics Institute, Zeeman Building, University of Warwick, Coventry CV4 7AL, UK
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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     title = {Corrigendum to {{\textquotedblleft}Symplectic} and orthogonal $K$-groups of the integers{\textquotedblright}},
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Marco Schlichting. Corrigendum to “Symplectic and orthogonal $K$-groups of the integers”. Comptes Rendus. Mathématique, Volume 362 (2024), pp. 307-308. doi: 10.5802/crmath.606

[1] Baptiste Calmès; Emanuele Dotto; Yonatan Harpaz; Fabian Hebestreit; Markus Land; Kristian Moi; Denis Nardin; Thomas Nikolaus; Wolfgang Steimle Hermitian K-theory for stable ∞-categories, Part III: Grothendieck-Witt groups of rings (2020) (https://arxiv.org/abs/2009.07225)

[2] Max Karoubi Bott periodicity in topological, algebraic and Hermitian K-theory, Handbook of K-theory. Vol. 1, 2, Springer, 2005, pp. 111-137 | Zbl | DOI

[3] Marco Schlichting Symplectic and orthogonal K-groups of the integers, C. R. Math. Acad. Sci. Paris, Volume 357 (2019) no. 8, pp. 686-690 | DOI | MR | Numdam

[4] Charles Weibel Algebraic K-theory of rings of integers in local and global fields, Handbook of K-theory. Vol. 1, 2, Springer, 2005, pp. 139-190 | DOI

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