Finite groups ofOD-conjugates |
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| Authors: | M. Groszek R. Laver |
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| Affiliation: | 1. Department of Mathematics, Dartmouth College, 03755, Hanover, NH, USA
2. Department of Mathematics, University of Colorado, 80309, Boulder, CO, USA
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| Abstract: | Given any setx, define the set of conjugates ofx to be Given any subgroupG of the group of permutations of {1, ?,n}, it is consistent with ZFC that there exists an orderedn-tuple 〈x 1, ?, xn〉 such that $$c(langle x_1 ,...,x_n rangle ) = { langle x_{pi 1} ,...,x_{pi n} rangle |pi in G} .$$ |
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