Abstract
Let Cn be a cyclic group of order n. We investigate K2 of integral group rings via the Mayer-Vietoris sequence, and give a decomposition of the 2-primary torsion subgroup of for any prime , in particular, is proven to be a finite abelian 2-group. As an application, we prove is an elementary abelian 2-group of rank at least 14, at most 16.
Correction Statement
This article has been corrected with minor changes. These changes do not impact the academic content of the article.
Acknowledgments
We thank the referees for their time and comments.
Notes
1 There exists a calculation error in the last paragraph on p. 4 in [Citation20]. As for the specific reason for the error, please refer to Scholium in Section 2.2 and Remark 4.5 of this paper for more details. Hence, is an elementary abelian 2-group of rank at least 6, at most 7.