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Operations on Elements

Operations on Elements

Subsections

Order of an Element

Order(x) : GrpAbElt -> RngIntElt
Order of the element x. If the element has infinite order, the value zero is returned.

Equality and Comparison

u eq v : GrpAbElt, GrpAbElt -> BoolElt
True if the elements u and v are identical (as elements of the appropriate free abelian group), false otherwise.
u ne v : GrpAbElt, GrpAbElt -> BoolElt
True if the elements u and v are not identical (as elements of the appropriate free abelian group), false otherwise.
IsIdentity(u) : GrpAbElt -> BoolElt
IsId(u) : GrpAbElt -> BoolElt
True if the element u, belonging to the abelian group A, is the identity element (zero), false otherwise.
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