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Projective general linear group action on the projective line

The group

PG L_{2} (F) = G L_{2} (F) / Z

acts faithfully on

P^{1} (F) = F \cup {\infty}

by Möbius transformations. For

∣ F ∣ = q

, this embeds

PG L_{2} (F)

into the symmetric group

S_{q + 1}

.

Table of contents 79 2
- Projective line Projective general linear group action on the projective line 22
- Sylow 2-subgroup of PGL2 over F4 Projective general linear group action on the projective line 37

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