Namespace KummerTheory 4 theorems
- Kummer theory for K(√[n]u : u ∈ S)
KummerTheory.powerSubgroup_eq_closure_sup_range_of_isSplittingField10 below · cited by 2 · depth 16 - Automorphism fixing all n-th roots of a finite set is trivial
KummerTheory.algEquiv_eq_one_of_forall_apply_eq_of_isSplittingField0 below · cited by 2 · depth 17 - Multi-radical Kummer extensions are abelian of exponent n
KummerTheory.isGalois_and_commute_and_pow_eq_one_of_isSplittingField_prod_X_pow_sub_C0 below · cited by 3 · depth 17 - Kummer theory: #Gal(L/K) as a power-subgroup index
KummerTheory.natCard_algEquiv_eq_natCard_powerSubgroup_quotient7 below · cited by 2 · depth 17