3 years ago

Free subgroups in maximal subgroups of

R. Fallah-Moghaddam
Given a non-commutative finite-dimensional F-central division ring D, N a subnormal subgroup of GLn(D) and M a non-abelian maximal subgroup of N, then either M contains a non-cyclic free subgroup or there exists a non-central maximal normal abelian subgroup A of M such that K=F[A] is a subfield of Mn(D), K/F is Galois and Gal(K/F)≅M/(K∗∩N), also Gal(K/F) is a finite simple group with F[M]=Mn(D).

Publisher URL: https://www.worldscientific.com/doi/abs/10.1142/S0219498821500717

DOI: 10.1142/S0219498821500717

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