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Let m be a positive integer and let Ω be a finite set. The mclosure of G ≤ Sym(Ω) is the largest permutation group on Ω having the same orbits… Click to show full abstract
Let m be a positive integer and let Ω be a finite set. The mclosure of G ≤ Sym(Ω) is the largest permutation group on Ω having the same orbits as G in its induced action on the Cartesian product Ωm. The 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.
Keywords:
wreath products;
product;
products product;
closures wreath;
product action;
action
Journal Title: Algebra and Logic
Year Published: 2021
Link to full text (if available)
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Journal Title: Algebra and Logic
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!