Abelian sections of the symmetric groups with respect to their index
L Sabatini - Archiv der Mathematik, 2022 - Springer
We show the existence of an absolute constant α> 0 α> 0 such that, for every k ≥ 3 k≥ 3,
G:= Sym (k) G:= Sym (k), and for every H\leqslant GH⩽ G of index at least 3, one has| H/H' …
G:= Sym (k) G:= Sym (k), and for every H\leqslant GH⩽ G of index at least 3, one has| H/H' …