5.Solve the following problem about the permutation group(1). fs] Let a E Sz and ß E S5. Suppose thatав 3 (15324), Ва %3 (14235), а(1) %3 3.Then determine a and B.(2).Let a E Sg. It is knowna² = (14685)(237)Then find a.

(1). The given cycle is: αβ=(15324), βα=(14235) where α(1)=3.

Solve the following problem about the permutation group (1). fois] Let a E S; and ß E Sg. Suppose that aß = (15324), Ba = (14235), a(1) = 3. Then determine a and ß. (2). Let a E Sg. It is known a² = (14685)(237) Then find a.

Solve the following problem about the permutation group (1). fois] Let a E S; and ß E Sg. Suppose that aß = (15324), Ba = (14235), a(1) = 3. Then determine a and ß. (2). Let a E Sg. It is known a² = (14685)(237) Then find a.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

5.
Solve the following problem about the permutation group
(1). fs] Let a E Sz and ß E S5. Suppose that
ав 3 (15324), Ва %3 (14235), а(1) %3 3.
Then determine a and B.
(2).
Let a E Sg. It is known
a² = (14685)(237)
Then find a.

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