Synchronization: Exercises, problems, references
نویسنده
چکیده
2. Permutation groups 1. Find the orbits of the permutation group on {1, . . . , 12} generated by the two permutations (1, 2)(3, 4)(5, 7)(6, 8)(9, 11)(10, 12) and (1, 2, 3)(4, 5, 6)(8, 9, 10). (We use the convention that points omitted from the cycle notation are fixed, that is, in cycles of length 1.) Where does this group fall in the hierarchy of properties defined in this section of the notes? 2. Let G be a transitive permutation group, and N a normal subgroup of G. Show that all the orbits of N have the same size.
منابع مشابه
Solutions to selected exercises and additional examples for my book Numerical Methods for Evolutionary Differential Equations
In this file I have collected solutions to selected exercises appearing in my book. Some of these solutions extend beyond what is strictly required in the question. Others leave details out. These solved exercises serve as additional examples for the text as well. It is seriously recommended that you try to solve the posed problems before taking a peak at the answers. This file represents work ...
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