Homomorphism final

  • Thread starter mathusers
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  • #1
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heres my final one. thnx.

Show that [itex]A_4[/itex], the group of even permutations on 4 letters, is a semidirect product:
[itex] A_4 \cong (C_2 \times C_2) \rtimes_{\varphi} C_3 [/itex]


and describe explicitly the associated homomorphism:
[itex] \varphi : C_3 \rightarrow Aut(C_2 \times C_2) [/itex]

thnx for help on the previous posts.
any help here and ill attempt the rest myself

kind regards
x
 

Answers and Replies

  • #2
morphism
Science Advisor
Homework Helper
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Have you tried thinking about what A_4 looks like? It's not a very complicated group.
 

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