On generating sets of infinite symmetric group
Reviewed by Pithpith:CXNFBPCAopen to challenge →
classification
math.GR
math.CO
keywords
generatinggroupinfinitesetssomebesidesbijectionscardinality
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It was shown that in a group of bijections of an infinite set some families of subsets, related to the cardinality of some eigenspaces, are generating. Besides, we derived a criterion for generating by sets of this kind.
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