TOPOLOGICAL GROUP STRUCTURES OF INFINITE SYMMETRIC GROUPS
نویسندگان
چکیده
منابع مشابه
Generating infinite symmetric groups
Let S = Sym(Ω) be the group of all permutations of an infinite set Ω. Extending an argument of Macpherson and Neumann, it is shown that if U is a generating set for S as a group, respectively as a monoid, then there exists a positive integer n such that every element of S may be written as a group word, respectively a monoid word, of length ≤ n in the elements of U. Some related questions are n...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1967
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.58.3.907