Gröbner-Shirshov bases and normal forms of some Coxeter groups

Ustaoğlu, UğurYılmaz, Erol2021-06-232021-06-2320180972-5555https://doi.org/10.17654/NT040050701https://hdl.handle.net/20.500.12491/9511The Grobner-Shirshov bases and normal forms of the finite Coxeter groups of types A(n), B-n, D-n are computed. Furthermore we are able to convert each element of these groups and the affine Coxeter group type (A) over tilde (n) into their normal forms. Hence the groups are complete revealed.eninfo:eu-repo/semantics/closedAccessCoxeter GroupsPermutation GroupsGrobner-Shirshov BasesNormal FormsComposition-Diamond LemmaGröbner-Shirshov bases and normal forms of some Coxeter groupsArticle10.17654/NT040050701405701723WOS:000453671100003N/A