Let S, be the symmetric group and let a be an element of S, defined by: 1 2 3 4 5 67 8 9 ) B = (7 3)(1 5 4). a = 5 4 3 2 9 8 67 1 Find the smallest integer n such that an+3 = a.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.2: Properties Of Group Elements
Problem 21E: Let a,b,c, and d be elements of a group G. Find an expression for (abcd)1 in terms of a1,b1,c1, and...
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Let S, be the symmetric group and let a be an element of S, defined by:
2 3
5 4 3
4 5 67 8 9
2 9 8 67 1
1
) B = (7 3)(1 5 4).
a =
Find the smallest integer n such that an+3 = a.
Transcribed Image Text:Let S, be the symmetric group and let a be an element of S, defined by: 2 3 5 4 3 4 5 67 8 9 2 9 8 67 1 1 ) B = (7 3)(1 5 4). a = Find the smallest integer n such that an+3 = a.
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