3. Consider o (3456) € S, and let H be the subgroup of S, generated by a. Justify all of your answers. The group S, acts on Me {1,2,3, 4,5, 6) and thus by restriction, (d) H also acts on Ma. What is the orbit of 1 under this action? The orbit of 3? (c) ) Is H a normal subgroup of S?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. Consider o =
Justify all of your answers.
(3456) € S, and let H be the subgroup of S, generated by o.
(d)
The group Se acts on Me = {1,2,3, 4, 5, 6} and thus by restriction,
H also acts on Mg. What is the orbit of 1 under this action? The orbit of
3?
) Is H a normal subgroup of Sq?
Transcribed Image Text:3. Consider o = Justify all of your answers. (3456) € S, and let H be the subgroup of S, generated by o. (d) The group Se acts on Me = {1,2,3, 4, 5, 6} and thus by restriction, H also acts on Mg. What is the orbit of 1 under this action? The orbit of 3? ) Is H a normal subgroup of Sq?
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