Chủ đề này có 21 trả lời

[eigen']

I finished the problem. But thanks a lot though, for all the feedback.

Please continue.

[madness]

I dont know too what does it mean by infinite dihedral group. But i guess that is $D_{2 \infty}$ in sense of Serre (take a look in his book "Linear representation of finite groups". I think in this case one can do analysis, namely integral or something like that.

interesting point! there may be different ways to define the "infinite dihedral group"; one of them is to define Dihedral(H) as the semidirect product of H and Z/2, where H is an abelian group and Z/2 acts on H as the inversion.

- when H=Z, we get Z-sp-Z/2.
- when H=S^1(=R/Z), we get S^1-sp-Z/2, which is the definition mentioned in Serre's "Linear representation of finite groups" (page 39). it is this case that the analysis can jump in.

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P/s: cám ơn chưởng về icosahedron của anh QC -- tiếc là không có tập bài giảng của Klein để xem

Bài viết đã được chỉnh sửa nội dung bởi madness: 06-11-2007 - 22:00