]> 2026-06-17T19:46:33+00:00 Characteristic of normal implies normal 0 en 1 Fact tabular 2026-01-06T02:20:17Z 2461046.597419 Characteristic of normal implies normal 0 Characteristic of normal implies normal#Composition operator 0 Characteristic of normal implies normal#Characteristic subgroup 0 Characteristic of normal implies normal#Normal subgroup 0 Characteristic of normal implies normal#Characteristic subgroup;2 2 0 Characteristic of normal implies normal#Normal subgroup;2 2 0 Characteristic of normal implies normal#RobinsonGT;28;Section 1.5 (''Characteristic and Fully invariant subgroups''), 1.5.6(iii) 28 Section 1.5 (''Characteristic and Fully invariant subgroups''), 1.5.6(iii) 0 Characteristic of normal implies normal#DummitFoote;135;Section 4.4 (''Automorphisms''), Point (3) after definition of characteristic subgroup 135 Section 4.4 (''Automorphisms''), Point (3) after definition of characteristic subgroup 0 Characteristic of normal implies normal#Herstein;70;Problem 9 70 Problem 9 0 Characteristic of normal implies normal#KhukhroNGA;4;Section 1.1;passing mention 4 Section 1.1 passing mention 0 Characteristic of normal implies normal#DummitFoote;137;Exercise 8(a) 137 Exercise 8(a) 0 1 plainlist 2 [[Proof style::tabular]] Characteristic of normal implies normal# QUERYf01bb08697ac3005f355a5eab6fde265 Characteristically metacyclic and commutator-realizable implies abelian 0 en Characteristically metacyclic and commutator-realizable implies abelian Characterization of minimal counterexamples to a characteristic p-functor controlling normal p-complements 0 en Characterization of minimal counterexamples to a characteristic p-functor controlling normal p-complements Glauberman's theorem on intersection with the ZJ-subgroup 0 en Glauberman's theorem on intersection with the ZJ-subgroup Isomorph-normal characteristic of WNSCDIN implies weakly closed 0 en Isomorph-normal characteristic of WNSCDIN implies weakly closed Left transiter of normal is characteristic 0 en Left transiter of normal is characteristic Characteristic central factor of WNSCDIN implies WNSCDIN 0 en Characteristic central factor of WNSCDIN implies WNSCDIN Center of pronormal implies SCDIN 0 en Center of pronormal implies SCDIN Finite supersolvable implies subgroups of all orders dividing the group order 0 en Finite supersolvable implies subgroups of all orders dividing the group order Intermediately normal-to-characteristic implies intermediately subnormal-to-normal 0 en Intermediately normal-to-characteristic implies intermediately subnormal-to-normal Uses 132 en Uses