Group of recursive permutations
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The group of recursive permutations was first studied by Clement F. Kent in his paper Constructive Analogues of the Group of Permutations of the Natural Numbers.
Let denote the set of natural numbers. The group of recursive permutations of is the group of all those permutations of that arise via recursive functions.
- Constructive analogues of the group of permutations of the natural numbers by Clement F. Kent, Transactions of the American Mathematical Society, Vol. 104, No. 2. (Aug., 1962), pp. 347-362.
- Transversals and conjugacy classes in the group of recursive permutations by Graham Higman, Groups -- Canberra, 1989, Pages 142-160