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math.GR2017
Large subgroups in finite groups
Stefanos Aivazidis, Thomas W. Müller
Following Isaacs (see [Isa08, p. 94]), we call a normal subgroup N of a finite group G large, if , so that N has bounded index in G. Our principal aim here is to est…
math.GR2017★ 1 cited
On residuals of finite groups
Stefanos Aivazidis, Thomas Mueller
A theorem of Dolfi, Herzog, Kaplan, and Lev \cite[Thm.~C]{DHKL} asserts that in a finite group with trivial Fitting subgroup, the size of the soluble residual of the group is bound…