@InProceedings{brachter_et_al:LIPIcs.ESA.2022.27, author = {Brachter, Jendrik and Schweitzer, Pascal}, title = {{A Systematic Study of Isomorphism Invariants of Finite Groups via the Weisfeiler-Leman Dimension}}, booktitle = {30th Annual European Symposium on Algorithms (ESA 2022)}, pages = {27:1--27:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-247-1}, ISSN = {1868-8969}, year = {2022}, volume = {244}, editor = {Chechik, Shiri and Navarro, Gonzalo and Rotenberg, Eva and Herman, Grzegorz}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ESA.2022.27}, URN = {urn:nbn:de:0030-drops-169653}, doi = {10.4230/LIPIcs.ESA.2022.27}, annote = {Keywords: group isomorphism problem, Weisfeiler-Leman algorithms, group invariants, direct product decompositions} }