@incollection{ApplegateTierney1970, author = {Applegate, H. and Tierney, M.}, title = {Iterated cotriples}, booktitle = {Reports of the Midwest Category Seminar {IV}}, series = {Lecture Notes in Mathematics}, volume = {137}, pages = {56--99}, publisher = {Springer}, address = {Berlin--Heidelberg}, year = {1970}, doi = {10.1007/BFb0060440} } @incollection{Bergman1975, author = {Bergman, George M.}, title = {Some category-theoretic ideas in algebra (a too-brief tour of algebraic structure, monads, and the adjoint tower)}, booktitle = {Proceedings of the International Congress of Mathematicians (Vancouver, B.C., 1974)}, volume = {1}, pages = {285--296}, publisher = {Canadian Mathematical Congress}, address = {Montreal}, year = {1975} } @book{Bergman2015, author = {Bergman, George M.}, title = {An Invitation to General Algebra and Universal Constructions}, edition = {2nd}, series = {Universitext}, publisher = {Springer}, address = {Cham}, year = {2015}, doi = {10.1007/978-3-319-11478-1} } @article{Joyce1982, author = {Joyce, David}, title = {A classifying invariant of knots, the knot quandle}, journal = {J. Pure Appl. Algebra}, volume = {23}, number = {1}, pages = {37--65}, year = {1982}, doi = {10.1016/0022-4049(82)90077-9} } @article{Szymik2026, author = {Szymik, Markus}, title = {{Artin--Schreier} quandles of involutions in absolute {Galois} groups}, journal = {Abhandlungen aus dem Mathematischen Seminar der Universit{\"a}t Hamburg}, volume = {96}, pages = {1--21}, year = {2026}, doi = {10.1007/s12188-026-00297-z} } @misc{Clauwens2010, author = {Clauwens, F. J.-B. J.}, title = {The adjoint group of an {Alexander} quandle}, year = {2010}, howpublished = {arXiv:1011.1587 [math.GR]}, url = {https://arxiv.org/abs/1011.1587} } @article{Ishikawa2025, author = {Ishikawa, Katsumi}, title = {Computing the associated groups of quandles with tools from group homology theory}, journal = {Fund. Math.}, volume = {268}, number = {2}, pages = {181--195}, year = {2025}, doi = {10.4064/fm240314-24-11}, eprint = {2402.15417}, archivePrefix = {arXiv}, primaryClass = {math.GT}, url = {https://arxiv.org/abs/2402.15417v1}, note = {Preprint version \url{https://arxiv.org/abs/2402.15417v1}} } @phdthesis{Hasegawa2024, author = {Hasegawa, Aoi}, title = {Associated groups of involutive quandles and their second quandle homology}, school = {Hokkaido University}, address = {Sapporo}, year = {2024}, month = mar, doi = {10.14943/doctoral.k15734}, url = {https://hdl.handle.net/2115/92198} } @article{AkitaShikata2025, author = {Akita, Toshiyuki and Shikata, Kakeru}, title = {Associated groups of symmetric quandles}, journal = {Bull. Polish Acad. Sci. Math.}, volume = {73}, number = {2}, pages = {141--165}, year = {2025}, doi = {10.4064/ba260316-17-3}, eprint = {2505.23507}, archivePrefix = {arXiv}, primaryClass = {math.GR}, url = {https://arxiv.org/abs/2505.23507}, note = {Published online 1 May 2026} } @article{Lebed2026, author = {Lebed, Victoria}, title = {Conjugation groups and structure groups of quandles}, journal = {J. Group Theory}, year = {2026}, doi = {10.1515/jgth-2025-0096}, eprint = {2407.02955}, archivePrefix = {arXiv}, primaryClass = {math.GR}, url = {https://arxiv.org/abs/2407.02955}, note = {\url{https://doi.org/10.1515/jgth-2025-0096}} } @article{Romero2015, author = {Romero, Nadia}, title = {Cyclic cellularity and active sums}, journal = {Arch. Math. (Basel)}, volume = {105}, number = {4}, pages = {307--311}, year = {2015}, doi = {10.1007/s00013-015-0807-9}, eprint = {1506.01118}, archivePrefix = {arXiv}, primaryClass = {math.GR}, url = {https://arxiv.org/abs/1506.01118} } @article{DiazBarrigaEtAl2004, author = {D{\'i}az-Barriga, Alejandro J. and Gonz{\'a}lez-Acu{\~n}a, Francisco and Marmolejo, Francisco and Rom{\'a}n, Leopoldo}, title = {Active sums {I}}, journal = {Rev. Mat. Complut.}, volume = {17}, number = {2}, pages = {287--319}, year = {2004}, doi = {10.5209/rev_REMA.2004.v17.n2.16721}, url = {https://revistas.ucm.es/index.php/REMA/article/view/REMA0404220287A} } @article{ArdizzoniMenini2022, author = {Ardizzoni, Alessandro and Menini, Claudia}, title = {Monadic vs adjoint decomposition}, journal = {J. Pure Appl. Algebra}, volume = {226}, number = {8}, pages = {106945}, year = {2022}, doi = {10.1016/j.jpaa.2021.106945} } @article{FloresMuro2019, author = {Flores, Ram{\'o}n and Muro, Fernando}, title = {Torsion homology and cellular approximation}, journal = {Algebr. Geom. Topol.}, volume = {19}, number = {1}, pages = {457--476}, year = {2019}, doi = {10.2140/agt.2019.19.457} }