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PSL(2,Z_p) could mean PSL_2 on a finite field of p elements; edited to avoid confusion.
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LeechLattice
LeechLattice
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The structure of PSL(Z_p)$PSL_2$ over the p-adic integers

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ayberkz
ayberkz
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As is well known, the group $\mathrm{PSL}(2,\mathbf{Z})$ is isomorphic to the free product of two cyclic groups of orders 2 and 3.

Is there a similar description of the projective special linear group over p-adic integers? If yes, where can I find it? If no, what is know onknown about the algebraic structure of $\mathrm{PSL}(2,\mathbf{Z}_p)$? Where to find it?

As is well known, the group $\mathrm{PSL}(2,\mathbf{Z})$ is isomorphic to the free product of two cyclic groups of orders 2 and 3.

Is there a similar description of the projective special linear group over p-adic integers? If yes, where can I find it? If no, what is know on the algebraic structure of $\mathrm{PSL}(2,\mathbf{Z}_p)$?

As is well known, the group $\mathrm{PSL}(2,\mathbf{Z})$ is isomorphic to the free product of two cyclic groups of orders 2 and 3.

Is there a similar description of the projective special linear group over p-adic integers? If yes, where can I find it? If no, what is known about the algebraic structure of $\mathrm{PSL}(2,\mathbf{Z}_p)$? Where to find it?

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ayberkz
ayberkz
  • 171
  • 3

The structure of PSL(Z_p)

As is well known, the group $\mathrm{PSL}(2,\mathbf{Z})$ is isomorphic to the free product of two cyclic groups of orders 2 and 3.

Is there a similar description of the projective special linear group over p-adic integers? If yes, where can I find it? If no, what is know on the algebraic structure of $\mathrm{PSL}(2,\mathbf{Z}_p)$?