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Definable sets of generators in maximal cofinitary groups |
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| Authors: | Su Gao |
| Affiliation: | a Department of Mathematics, University of North Texas, PO Box 311430, Denton, TX 76203, USA b Institute of Logic and Cognition, Sun Yat-sen University, Guangzhou, 510275, PR China c Department of Mathematics, Sun Yat-sen University, Guangzhou, 510275, PR China |
| Abstract: | A group G?Sym(N) is cofinitary if g has finitely many fixed points for every g∈G except the identity element. In this paper, we discuss the definability of maximal cofinitary groups and some related structures. More precisely, we show the following two results:
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| Keywords: | 03E15 28A05 54H05 20B35 20B07 |
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set of permutations on N which generates a maximal cofinitary group.
mad permutation family in Sym(N).