@InProceedings{grochow_et_al:LIPIcs.ITCS.2021.31, author = {Grochow, Joshua A. and Qiao, Youming}, title = {{On the Complexity of Isomorphism Problems for Tensors, Groups, and Polynomials I: Tensor Isomorphism-Completeness}}, booktitle = {12th Innovations in Theoretical Computer Science Conference (ITCS 2021)}, pages = {31:1--31:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-177-1}, ISSN = {1868-8969}, year = {2021}, volume = {185}, editor = {Lee, James R.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2021.31}, URN = {urn:nbn:de:0030-drops-135702}, doi = {10.4230/LIPIcs.ITCS.2021.31}, annote = {Keywords: complexity class, tensor isomorphism, polynomial isomorphism, group isomorphism, stochastic local operations and classical communication} }