Tohoku Mathematical Journal

Rigid braid orbits related to {${\rm PSL}\sb 2(p\sp 2)$} and some simple groups

Takehito Shiina

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We apply the braid orbit theorem to projective semilinear groups over the finite fields with $p^2$ elements and some almost simple groups of Lie type. The projective special linear groups $\psl_2(p^2)$ with $p\equiv\pm 3\; (\bmod\; 8)$, the Tits simple group, and some small simple groups occur regularly as Galois groups over the rationals.

Article information

Tohoku Math. J. (2), Volume 55, Number 2 (2003), 271-282.

First available in Project Euclid: 11 April 2005

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Zentralblatt MATH identifier

Primary: 12F12: Inverse Galois theory

Inverse Galois problem finite simple groups braid actions


Shiina, Takehito. Rigid braid orbits related to {${\rm PSL}\sb 2(p\sp 2)$} and some simple groups. Tohoku Math. J. (2) 55 (2003), no. 2, 271--282. doi:10.2748/tmj/1113246941.

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