Automorphism groups of quandles and related groups

Andruskiewitsch, N., Grana, M.: From racks to pointed Hopf algebras. Adv. Math. 178(2), 177–243 (2003)

Björner, A., Brenti, F.: Combinatorics of Coxeter groups, Graduate Texts in Mathematics, vol. 231. Springer, New York (2005)

Bardakov, V., Dey, P., Singh, M.: Automorphism groups of quandles arising from groups. Monatsh. Math. 184(4), 519–530 (2017)

Burnside, W.: On the outer isomorphisms of a group. Proc. Lond. Math. Soc. S2–11(1), 40–42 (1913)

Carter, J.: A Survey of Quandle Ideas, Introductory Lectures on Knot Theory, Series Knots Everything, vol. 46, pp. 22–53. World Science Publisher, Hackensack (2012)

Carter, J., Elhamdadi, M., Nikiforou, M., Saito, M.: Extensions of quandles and cocycle knot invariants. J. Knot Theory Ramif. 12(6), 725–738 (2003)

Carter, J., Elhamdadi, M., Saito, M.: Twisted quandle homology theory and cocycle knot invariants. Algebr. Geom. Topol 2, 95–135 (2002)

Carter, J., Kamada, S., Saito, M.: Diagrammatic Computations for Quandles and Cocycle Knot Invariants, Diagrammatic Morphisms and Applications (San Francisco, CA, 2000), vol. 318, pp. 51–74. Contemporary Mathematics American Mathematical Society, Providence (2003)

Clark, W., Elhamdadi, M., Saito, M., Yeatman, T.: Quandle colorings of knots and applications. J. Knot Theory Ramif. 23(6), 1450035 (2014)

Clark, W., Saito, M.: Algebraic properties of quandle extensions and values of cocycle knot invariants. J. Knot Theory Ramif. 25(14), 1650080 (2016)

Fox, R.: A Quick Trip Through Knot Theory, Topology of 3-Manifolds, pp. 120–167. Prentice-Hall, Upper Saddle River (1962)

Garcia Iglesias, A., Vendramin, L.: An explicit description of the second cohomology group of a quandle. Math. Z. 286(3–4), 1041–1063 (2017)

Gorin, E., Lin, V.: Algebraic equations with continuous coefficients and some problems of the algebraic theory of braids. Math. USSR-Sb. 7(4), 569–596 (1969)

Hulpke, A., Stanovský, D., Vojtěchovský, P.: Connected quandles and transitive groups. J. Pure Appl. Algebra 220(2), 735–758 (2016)

Joyce, D.: A classifying invariant of knots, the knot quandle. J. Pure Appl. Algebra 23, 37–65 (1982)

Kamada, S.: Knot Invariants Derived from Quandles and Racks, Invariants of Knots and 3-manifolds (Kyoto, 2001), vol. 4, pp. 103–117. Geometry and Topology Monographs Geometry and Topology Publication, Coventry (2002)

McCarron, J.: Small homogeneous quandles. In: ISSAC 2012-Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation. ACM, New York, pp. 257–264 (2012)

Matveev, S.: Distributive groupoids in knot theory. Mat. Sb. (N.S.) 119–161(1–9), 78–88 (1982). (Russian)

Nelson, S.: The combinatorial revolution in knot theory. Notices Am. Math. Soc. 58, 1553–1561 (2011)

Nosaka, T.: Central extensions of groups and adjoint groups of quandles. ArXiv:Math/1505.03077

Przytycki, J.: 3-coloring and Other Elementary Invariants of Knots, vol. 42, pp. 275–295. Banach Center Publications, Warszawa (1998)

Stanovský, D.: A guide to self-distributive quasigroups, or latin quandles. Quasigroups Relat. Syst. 23(1), 91–128 (2015)

Takasaki, M.: Abstraction of symmetric transformation. Tohoku Math. J. 49, 145–207 (1942)

Tamaru, H.: Two-point homogeneous quandles with prime cardinality. J. Math. Soc. Jpn 65(4), 1117–1134 (2013)