Adjust printing of Galois context objects

- ensure 'Galois' is always uppercase
- ... but 'context' should be lowercase
- adjust some doctest filters that did not match anymore
  (they matched for "Group" where now we had "group")

docs/src/NumberTheory/galois.md

@@ -85,7 +85,7 @@ galois_group(f::PolyRingElem{<:FieldElem})
 
 Over the rational function field, we can also compute the monodromy group:
 ```@meta
-DocTestFilters = r"Group\(.*\]\)"
+DocTestFilters = r"Galois context\(.*\]\)"
 ```
 ```jldoctest galqt; setup = :(using Oscar, Random ; Random.seed!(1))
 julia> Qt, t = RationalFunctionField(QQ, "t");
@@ -102,10 +102,10 @@ julia> subfields(F)
  (Function Field over Rational field with defining polynomial a^3 - 54*t - 27, (-1//12*_a^4 + (3//2*t + 3//4)*_a)//(t + 1//2))
 
 julia> galois_group(F)
-(Permutation group of degree 6 and order 6, Galois Context for s^6 + 108*t^2 + 540*t + 675)
+(Permutation group of degree 6 and order 6, Galois context for s^6 + 108*t^2 + 540*t + 675)
 
 julia> G, C, k = galois_group(F, overC = true)
-(Permutation group of degree 6 and order 3, Galois Context for s^6 + 108*t^2 + 540*t + 675, Number field of degree 2 over QQ)
+(Permutation group of degree 6 and order 3, Galois context for s^6 + 108*t^2 + 540*t + 675, Number field of degree 2 over QQ)
 
 ```
 So, while the splitting field over `Q(t)` has degree `6`, the galois group there
@@ -139,7 +139,7 @@ julia> Qx, x = QQ["x"];
 julia> f = (x^2-2)*(x^2-3);
 
 julia> G, C = galois_group(f)
-(Permutation group of degree 4 and order 4, Galois Context for x^4 - 5*x^2 + 6 and prime 11)
+(Permutation group of degree 4 and order 4, Galois context for x^4 - 5*x^2 + 6 and prime 11)
 
 julia> r = roots(C, 5)
 4-element Vector{qadic}:

experimental/GaloisGrp/src/Solve.jl

@@ -291,7 +291,7 @@ one, compute the corresponding subfields as a tower.
 julia> Qx, x = QQ["x"];
 
 julia> G, C = galois_group(x^3-3*x+17)
-(Permutation group of degree 3 and order 6, Galois Context for x^3 - 3*x + 17 and prime 7)
+(Permutation group of degree 3 and order 6, Galois context for x^3 - 3*x + 17 and prime 7)
 
 julia> d = derived_series(G)
 3-element Vector{PermGroup}:

src/NumberTheory/GaloisGrp/GaloisGrp.jl

@@ -6,6 +6,8 @@ import Oscar: Hecke, AbstractAlgebra, GAP, extension_field, isinteger,
               upper_bound
 using Oscar: SLPolyRing, SLPoly, SLPolynomialRing, CycleType
 
+import Oscar: pretty, LowercaseOff
+
 export cauchy_ideal
 export elementary_symmetric
 export fixed_field
@@ -485,7 +487,7 @@ mutable struct ComplexRootCtx
 end
 
 function Base.show(io::IO, GC::GaloisCtx{ComplexRootCtx})
-  print(io, "Galois Context for $(GC.f) using complex roots")
+  print(pretty(io), LowercaseOff(), "Galois context for $(GC.f) using complex roots")
 end
 
 function Hecke.roots(C::GaloisCtx{ComplexRootCtx}, pr::Int = 10; raw::Bool = false)
@@ -556,7 +558,7 @@ mutable struct SymbolicRootCtx
 end
 
 function Base.show(io::IO, GC::GaloisCtx{SymbolicRootCtx})
-  print(io, "Galois Context for $(GC.f) using symbolic roots")
+  print(pretty(io), LowercaseOff(), "Galois context for $(GC.f) using symbolic roots")
 end
 
 function Hecke.roots(C::GaloisCtx{SymbolicRootCtx}, ::Int; raw::Bool = false)
@@ -598,10 +600,10 @@ function Nemo.roots_upper_bound(f::ZZMPolyRingElem, t::Int = 0)
 end
 
 function Base.show(io::IO, GC::GaloisCtx{Hecke.qAdicRootCtx})
-  print(io, "Galois Context for $(GC.f) and prime $(GC.C.p)")
+  print(pretty(io), LowercaseOff(), "Galois context for $(GC.f) and prime $(GC.C.p)")
 end
 function Base.show(io::IO, GC::GaloisCtx{<:Hecke.MPolyFact.HenselCtxFqRelSeries})
-  print(io, "Galois Context for $(GC.f)")
+  print(pretty(io), LowercaseOff(), "Galois context for $(GC.f)")
 end
 
 
@@ -1933,7 +1935,7 @@ extension of the p-adics.
 julia> K, a = cyclotomic_field(5);
 
 julia> G, C = galois_group(K)
-(Permutation group of degree 4 and order 4, Galois Context for x^4 + x^3 + x^2 + x + 1 and prime 19)
+(Permutation group of degree 4 and order 4, Galois context for x^4 + x^3 + x^2 + x + 1 and prime 19)
 
 julia> describe(G)
 "C4"
@@ -2382,7 +2384,7 @@ Finds all(?) subfields (up to isomorphism) of the splitting field of degree d
 with galois group isomorphic to the original one.
 
 # Examples
-```jldoctest; filter = r"Group\(.*\]\)"
+```jldoctest; filter = r"Galois context\(.*\]\)"
 julia> Qx, x = QQ["x"];
 
 julia> G, C = galois_group(x^3-2);
@@ -2392,7 +2394,7 @@ julia> galois_quotient(C, 6)
  Number field of degree 6 over QQ
 
 julia> galois_group(ans[1])
-(Permutation group of degree 6 and order 6, Galois Context for x^6 + 324*x^4 - 4*x^3 + 34992*x^2 + 1296*x + 1259716 and prime 13)
+(Permutation group of degree 6 and order 6, Galois context for x^6 + 324*x^4 - 4*x^3 + 34992*x^2 + 1296*x + 1259716 and prime 13)
 
 julia> is_isomorphic(ans[1], G)
 true