Theorems · Theorem · group theory

Matrix.GeneralLinearGroup.map_center_le

∀ {R : Type u_1} {n : Type u_2} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing R] {S : Type u_3}
  [inst_3 : CommRing S] (f : R →+* S),
  Subgroup.center (GL n R) ≤ Subgroup.comap (Matrix.GeneralLinearGroup.map f) (Subgroup.center (GL n S))

Defined in

Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Basic

Cited by

0 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeDecidableEqCommRingCommRing