Proposition. Let n be a positive integer and let f,g € Sn. Suppose that the cycle notation for g is (a1,1 91,2 a1.k₁)(am,1 am,2 am.km). Then the cycle notation for fogo f-¹ is

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.7: Problem Solving: Consecutive Integers
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Fill in the rest of this proposition in mathematical notation

Proposition. Let n be a positive integer and let f, g = Sn. Suppose
that the cycle notation for g is
(a1,1 1,2 a1.k₁)(am,1 am,2 am.km).
Then the cycle notation for fogo f-¹ is
...
Transcribed Image Text:Proposition. Let n be a positive integer and let f, g = Sn. Suppose that the cycle notation for g is (a1,1 1,2 a1.k₁)(am,1 am,2 am.km). Then the cycle notation for fogo f-¹ is ...
Let f = (4 5 6) and g = (1 9 8 4) (2 7 5)(36) be two permutations in S9.
Transcribed Image Text:Let f = (4 5 6) and g = (1 9 8 4) (2 7 5)(36) be two permutations in S9.
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