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Results tagged with infinite-combinatorics
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user 22989
Combinatorial properties of infinite sets. This is a corner-point of set theory and combinatorics.
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Does the symmetric group on an infinite set have a minimal generating set?
I think it follows from Theorem 1.1 of "Subgroups of Infinite Symmetric Groups" by Macpherson and Neumann (J. London Math. Soc. (1990) s2-42 (1): 64-84) that there is no minimal generating set of $S(\ …
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