Let a = (1365) (24), B = (152643), y = (163). Find each of the following....
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Let a = (1365) (24), B = (152643), y = (163). Find each of the following. For (a)-(e), write each result first as a product of disjoint cycles, then as a product of 2-cycles, then say if the element is even or odd: (a) αβ (b) βα (c) a² By² (d) a-1 (e) n such that n3 = (1243) (56) (f) |a| Concepts: Basic concepts emphasized: • Permutation groups. Symmetric groups, examples and properties. Alternating (sub)group. Cycle notation. Let a = (1365) (24), B = (152643), y = (163). Find each of the following. For (a)-(e), write each result first as a product of disjoint cycles, then as a product of 2-cycles, then say if the element is even or odd: (a) αβ (b) βα (c) a² By² (d) a-1 (e) n such that n3 = (1243) (56) (f) |a| Concepts: Basic concepts emphasized: • Permutation groups. Symmetric groups, examples and properties. Alternating (sub)group. Cycle notation.
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Related Book For
Probability And Statistics
ISBN: 9780321500465
4th Edition
Authors: Morris H. DeGroot, Mark J. Schervish
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