A NOTE ON SUBNORMAL SUBGROUPS IN DIVISION RINGS CONTAINING SOLVABLE SUBGROUPS

2023/01/11 by LE QUI DANH, Le Qui Danh, TRINH THANH DEO +1 · 1 citation
Mathematics · #Rings, Modules, and Algebras #Finite Group Theory Research #Advanced Topics in Algebra

paper · doi:10.1017/s0004972722001599

Abstract

Abstract Let D be a division ring and N be a subnormal subgroup of the multiplicative group D^* . We show that if N contains a nonabelian solvable subgroup, then N contains a nonabelian free subgroup.

Citations

• Theory of Non-Commutative Polynomials

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