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Article

Drápal, Aleš ; Kepka, Tomáš ; Musílek, Michal
Group conjugation has non-trivial LD-identities. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 2, pp. 219-222
MSC: 08B15, 20A05, 20A99, 20M07, 20N02 | MR 1286567 | Zbl 0810.20053
Keywords:
left distributivity; free group
Summary:
We show that group conjugation generates a proper subvariety of left distributive idempotent groupoids. This subvariety coincides with the variety generated by all cancellative left distributive groupoids.
References:
[1] Dehornoy P.: Braid groups and left distributive structures. Transactions AMS, to appear.
[2] Kepka T.: Notes on left distributive groupoids. Acta Univ. Carolinae - Math. et Ph. 22 (1981), 23-37. MR 0654379 | Zbl 0517.20048
[3] Laver R.: The left distributive law and the freeness of an algebra of elementary embeddings. Advances in Mathematics 91 (1992), 209-231. MR 1149623 | Zbl 0822.03030
[4] Pierce R.S.: Symmetric groupoids. Osaka J. Math. 15 (1978), 51-76. MR 0480780 | Zbl 0395.20033
[5] Larue D.M.: Unpublished notes, 1992. Zbl 1106.76319
[6] Larue D.M.: Ph. D. Thesis University of Colorado, 1994. Zbl 1106.76319
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