Corpus ID: 237571616

On generating sets of infinite symmetric group

  title={On generating sets of infinite symmetric group},
  author={A. V. Semenov and Aleksandra V. Denisova},
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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Generating automorphism groups of chains, to appear, Forum Mathematicum
  • Volume 17: Issue
  • 2005
Permutation groups
Generating Countable Sets of Permutations