abstract algebra - What exactly does conjugation mean?
Conjugation is an important construction in group theory. Conjugation defines a group action of a group on itself and this often yields useful information about the group. For example, this …
abstract algebra - Is the conjugation map always an isomorphism ...
Conjugation is always an isomorphism because it always has an inverse. $\endgroup$ – Qiaochu Yuan. ...
abstract algebra - Showing that Conjugation is a Group Action ...
2016年10月16日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
Conjugate permutations in $S_n$ and / or $A_n$
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …
Is complex conjugation needed for valid inner product?
Note that there's nothing wrong with bilinear forms on complex vector spaces; they're just not inner products. They're disjoint concepts, unlike in real vector spaces, where inner products …
What is conjugate in group theory? - Mathematics Stack Exchange
2016年10月17日 · One of the most basic types of group action is conjugation by an element of the group. The notion also comes up often when dealing with free groups. Finally for now, …
abstract algebra - Why are two permutations conjugate iff they …
The intuitive way to see this is to realize that "conjugation" in a permutation group is the same as "renaming". Take some permutation; conjugate it by (1 2), the permutation that swaps 1 and 2; …
Conjugation of Matrices and Conjugation of Complex Numbers
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What is the difference between left- and right-conjugation in a …
2019年12月22日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
geometry - Isogonal conjugation in quadrilaterals - Mathematics …
2019年3月25日 · There is a well-known geometric construction called isogonal conjugation with respect to triangle.