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pro vyhledávání: '"Fabienne Chouraqui"'
Autor:
Fabienne Chouraqui
Publikováno v:
Advances in Group Theory and Applications, Vol 12, Pp 107-122 (2021)
Externí odkaz:
https://doaj.org/article/1f70ed704bd34584b4fc91be7c79da30
Autor:
Fabienne Chouraqui
Publikováno v:
International Journal of Algebra and Computation. 33:547-584
We define non-degenerate involutive partial solutions as a generalization of non-degenerate involutive set-theoretical solutions of the quantum Yang–Baxter equation (QYBE). The induced operator is not a classical solution of the QYBE, but a braidin
Autor:
Fabienne Chouraqui
Publikováno v:
Communications in Algebra. 51:3221-3231
Autor:
Fabienne Chouraqui
Publikováno v:
Semigroup Forum.
Autor:
Fabienne Chouraqui
Publikováno v:
Communications in Algebra. 49:4600-4615
Let G be a group and H1,…,Hs be subgroups of G of indices d1,…,ds, respectively. In 1974, M. Herzog and J. Schonheim conjectured that if {Hiαi}i=1i=s,αi∈G, is a coset partition of G, then d1,…,ds c...
Autor:
Fabienne Chouraqui
Publikováno v:
Semigroup Forum.
Autor:
Fabienne Chouraqui
Publikováno v:
International Journal of Algebra and Computation. 29:1083-1112
Let [Formula: see text] be a group and [Formula: see text] be subgroups of [Formula: see text] of indices [Formula: see text], respectively. In 1974, Herzog and Schönheim conjectured that if [Formula: see text], [Formula: see text], is a coset parti
Autor:
Fabienne Chouraqui
Publikováno v:
Communications in Algebra. 46:4710-4723
The structure group G of a non-degenerate symmetric set (X,S) is a Bieberbach and a Garside group. We describe a combinatorial method to compute explicitly a group of automorphisms of G and show th...
Autor:
Fabienne Chouraqui
Publikováno v:
Developments in Language Theory ISBN: 9783030485153
DLT
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Let G be a group and \(H_1\),..., \(H_s\) be subgroups of G of indices \(d_1,\ldots ,d_s\) respectively. In 1974, M. Herzog and J. Schonheim conjectured that if \(\{H_i\alpha _i\}_{i=1}^{i=s}\), \(\alpha _i\in G\), is a coset partition of G, then \(d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0cd557c82244c02ae0043dbc6089523c
https://doi.org/10.1007/978-3-030-48516-0_5
https://doi.org/10.1007/978-3-030-48516-0_5
Autor:
Fabienne Chouraqui
Publikováno v:
International Journal of Algebra and Computation. 26:1349-1359
We consider the structure group of a non-degenerate symmetric (non-trivial) set-theoretical solution of the quantum Yang–Baxter equation. This is a Bieberbach group and also a Garside group. We show this group is not bi-orderable, that is it does n