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The 13th Iranian International Group Theory Conference (13IGTC2020), organized by the Department of Mathematics, will be held on November 18-19, 2020 at Urmia University, Iran. The annual IGTC conference is under the support of the Iranian mathematical society and the Iranian group theory society. The conference is a forum for researchers and practitioners working on various aspects of group theory. The aim of the conference is to present recent developments in theory, computations, and applications in the aforementioned areas.