Group conjugation has non-trivial LD-identities
Drápal, Aleš ; Kepka, Tomáš ; Musílek, Michal
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994), p. 219-222 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 1994-01-01
Classification:  08B15,  20A05,  20A99,  20M07,  20N02 
@article{118659,
     author = {Ale\v s Dr\'apal and Tom\'a\v s Kepka and Michal Mus\'\i lek},
     title = {Group conjugation has non-trivial LD-identities},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {35},
     year = {1994},
     pages = {219-222},
     zbl = {0810.20053},
     mrnumber = {1286567},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118659}
}

Drápal, Aleš; Kepka, Tomáš; Musílek, Michal. Group conjugation has non-trivial LD-identities. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) pp. 219-222. http://gdmltest.u-ga.fr/item/118659/

Dehornoy P. Braid groups and left distributive structures, Transactions AMS, to appear.

Kepka T. Notes on left distributive groupoids, Acta Univ. Carolinae - Math. et Ph. 22 (1981), 23-37. (1981) | MR 0654379 | Zbl 0517.20048

Laver R. The left distributive law and the freeness of an algebra of elementary embeddings, Advances in Mathematics 91 (1992), 209-231. (1992) | MR 1149623 | Zbl 0822.03030

Pierce R.S. Symmetric groupoids, Osaka J. Math. 15 (1978), 51-76. (1978) | MR 0480780 | Zbl 0395.20033

Larue D.M. , Unpublished notes, 1992. | Zbl 1106.76319

Larue D.M. , Ph. D. Thesis University of Colorado, 1994. | Zbl 1106.76319