Dear Forum, Dear Luyen Le Van, > Let G be a finite group and p be a prime. Suppose that Q is a p-subgroup of G. > How to find a Sylow p-subgroup of G containing Q ?
Compute a p-Sylow subgroup of N_G(Q). It will contain Q, and must be larger. Repeat until the correct order is obtained. Best, Alexander Hulpke -- Colorado State University, Department of Mathematics, Weber Building, 1874 Campus Delivery, Fort Collins, CO 80523-1874, USA email: hul...@math.colostate.edu, Phone: ++1-970-4914288 http://www.math.colostate.edu/~hulpke _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
