The Closures of Wreath Products in Product Action Full article
| Journal |
Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302 |
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| Output data | Year: 2021, Volume: 60, Number: 3, Pages: 188-195 Pages count : 8 DOI: 10.1007/s10469-021-09640-0 | ||||||
| Tags | (1, 1)-superalgebra; left-symmetric algebra; Pierce decomposition; pre-Lie algebra; prime ring; right-symmetric ring | ||||||
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Abstract:
Let m be a positive integer and let Ω be a finite set. The m-closure of G ≤ Sym(Ω) is the largest permutation group G(m) on Ω having the same orbits as G in its induced action on the Cartesian product Ωm. An exact formula for the m-closure of the wreath product in product action is given. As a corollary, a sufficient condition is obtained for this m-closure to be included in the wreath product of the m-closures of the factors. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.
Cite:
Vasil’ev A.V.
, Ponomarenko I.N.
The Closures of Wreath Products in Product Action
Algebra and Logic. 2021. V.60. N3. P.188-195. DOI: 10.1007/s10469-021-09640-0 WOS Scopus OpenAlex
The Closures of Wreath Products in Product Action
Algebra and Logic. 2021. V.60. N3. P.188-195. DOI: 10.1007/s10469-021-09640-0 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000714533400008 |
| Scopus: | 2-s2.0-85118576704 |
| OpenAlex: | W4205872934 |