@InProceedings{grochow_et_al:LIPIcs.CCC.2021.16, author = {Grochow, Joshua A. and Qiao, Youming}, title = {{On p-Group Isomorphism: Search-To-Decision, Counting-To-Decision, and Nilpotency Class Reductions via Tensors}}, booktitle = {36th Computational Complexity Conference (CCC 2021)}, pages = {16:1--16:38}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-193-1}, ISSN = {1868-8969}, year = {2021}, volume = {200}, editor = {Kabanets, Valentine}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2021.16}, URN = {urn:nbn:de:0030-drops-142905}, doi = {10.4230/LIPIcs.CCC.2021.16}, annote = {Keywords: group isomorphism, search-to-decision reduction, counting-to-decision reduction, nilpotent group isomorphism, p-group isomorphism, tensor isomorphism} }