Consider the following elements of S7 4 5 6 7 7 3 2 4 1 1 2 3 4 5 6 7 1 2 3 α 5 6 2 1 4 7 3 6 5 (a) Express a, ß and a-1B² as cycles or product of disjoint cycles. (b) Is a1ºa¬5 E A7? Justify. (c) Determine |a| in S7 and [S, : (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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Consider the following elements of S7
4 5 6 7
7 3 2 4 1
1
2 3 4
5 6 7
1
2 3
α
5 6 2
1 4
7 3
6 5
(a) Express a, ß and a-1B² as cycles or product of disjoint cycles.
(b) Is a1ºa¬5 E A7? Justify.
(c) Determine |a| in S7 and [S, : (a)].
||
Transcribed Image Text:Consider the following elements of S7 4 5 6 7 7 3 2 4 1 1 2 3 4 5 6 7 1 2 3 α 5 6 2 1 4 7 3 6 5 (a) Express a, ß and a-1B² as cycles or product of disjoint cycles. (b) Is a1ºa¬5 E A7? Justify. (c) Determine |a| in S7 and [S, : (a)]. ||
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