conjugate elements

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conjugate elements

[′kän·jə·gət ′el·ə·mənts]
(mathematics)
Two elements a and b in a group G for which there is an element x in G such that ax = xb.
Two elements of a determinant that are interchanged if the rows and columns of the determinant are interchanged.
References in periodicals archive ?
i] is the ith conjugacy class of G, then the element [F.
is a conjugacy invariant, equal to the coefficient, by which the conjugacy class of [theta] enters in the Plancherel formula for [pi].
the conjugacy class of the element will be highlighted.
We will assume that a representative g [member of] G has been chosen for each conjugacy class [bar.
S8]], then, is the set of all conjugates of [alpha], or the conjugacy class of [alpha].
lambda], then the conjugacy class C([gamma]) of [gamma] is not contained in the coset [gamma][Kappa][lambda], and so f cannot be supported on C([gamma]).
G]) is semisimple and the simple objects are [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] where [g] [subset] G is a conjugacy class and [chi] an irreducible character of the centralizer Cent(g)
n] conjugacy class of cycle type [zeta], when [zeta] is a partition into distinct odd parts, splits into two conjugacy classes in the alternating group [A.
All c-traces of fixed length and fixed positive excess define a unique conjugacy class.
Furthermore, we show that[phi]in (D, [phi], [sigma]) can be even restricted to just one representative of each conjugacy class.
K], which is considered as a well-defined conjugacy class, acts on X.
n], but the conjugacy class of a reflection t in [GL.