On the Idempotent Conjecture for Sidki Doubles
Group Theory
2023-09-20 v2
Abstract
Let be a group and its Sidki Double. The idempotent conjecture says that there should be no non-trivial idempotent in the complex group ring of a torsion-free group. We investigate this conjecture for the Sidki double of a torsion-free group, and obtain a partial result.
Keywords
Cite
@article{arxiv.2204.02176,
title = {On the Idempotent Conjecture for Sidki Doubles},
author = {Indira Chatterji and Guido Mislin},
journal= {arXiv preprint arXiv:2204.02176},
year = {2023}
}
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16 pages