1. Consider the following elements of S7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 a = 6 2 1 4 7 3 7 3 2 4 1 6 5 (a) Express a, ß and a-B2 as cycles or product of disjoint cycles. (b) Is a1035a-5E A7? Justify. (c) Determine |a| in S7 and [S7 : (a)].

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Consider the following elements of S7
5 6 7
7 3
1
2 3
4
1
2 3
4 5 6 7
a =
6 2
1
4
7 3
2
4
1
6 5
(a) Express a, ß and a-B2 as cycles or product of disjoint cycles.
(b) Is a1035a-5E A7? Justify.
(c) Determine |a| in S7 and [S7 : (a)].
Transcribed Image Text:1. Consider the following elements of S7 5 6 7 7 3 1 2 3 4 1 2 3 4 5 6 7 a = 6 2 1 4 7 3 2 4 1 6 5 (a) Express a, ß and a-B2 as cycles or product of disjoint cycles. (b) Is a1035a-5E A7? Justify. (c) Determine |a| in S7 and [S7 : (a)].
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