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 ?
We will assume that a representative g [member of] G has been chosen for each conjugacy class [bar.
Conjugacy class Representative Centralizer subgroup {e} e [D.
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.
n], but the conjugacy class of a reflection t in [GL.
q]) has conjugacy class determined by its non-unit eigen-value det(t), which lies in [F.
factorizations whose unique factor of length 2 has a conjugacy class corresponding to [LAMBDA].
So the conjugacy class for a parabolic elements is a finer characteristic than the Coxeter type (ix).
We first compute that the character of [rho] denoted by [chi] on each conjugacy class of cycle type [lambda] of [S.
lambda]] denotes the value of [chi] on conjugacy class [lambda].
For example, one can investigate the poset [OMEGA](Conj(v)), where Conj(v) is the conjugacy class of the symmetric group which corresponds to the partition v.
The type type([pi]) of [pi] is the conjugacy class of L under the action of W on [PI](W).
n] of characteristic p corresponding to [lambda], evaluated at the conjugacy class [rho].