kalmar/Groups.jl
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new multiplication

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kalmar 2017-07-21 15:59:47 +02:00
parent 620b970f62
commit 36a0e8593d
1 changed files with 4 additions and 11 deletions
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15
src/WreathProducts.jl
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@ -171,14 +171,6 @@ end
# #
############################################################################### ###############################################################################
function wreath_multiplication(g::WreathProductElem, h::WreathProductElem)
parent(g) == parent(h) || throw("Can not multiply elements from different
groups!")
G = parent(g)
w = G.N((h.n).elts[inv(g.p).d])
return G(g.n*w, g.p*h.p)
end
doc""" doc"""
*(g::WreathProductElem, h::WreathProductElem) *(g::WreathProductElem, h::WreathProductElem)
> Return the wreath product group operation of elements, i.e. > Return the wreath product group operation of elements, i.e.
@ -188,9 +180,10 @@ doc"""
> where g.p(h.n) denotes the action of `g.p::perm` on > where g.p(h.n) denotes the action of `g.p::perm` on
> `h.n::DirectProductGroupElem` via standard permutation of coordinates. > `h.n::DirectProductGroupElem` via standard permutation of coordinates.
""" """
(*)(g::WreathProductElem, h::WreathProductElem) = wreath_multiplication(g,h) function *(g::WreathProductElem, h::WreathProductElem)
w = DirectProductGroupElem((h.n).elts[inv(g.p).d])
return WreathProductElem(g.n*w, g.p*h.p)
end
doc""" doc"""
inv(g::WreathProductElem) inv(g::WreathProductElem)