Nov 11, 2012 · In group theory, the mathematical definition for "conjugation" is: $$ (g, h) \\mapsto g h g^{-1} $$ But what exactly does this mean, like in laymans terms?

Oct 17, 2019 · Conjugation is an important way to study fields. As one learns when studying Galois theory, the conjugation operator serves the important role of being the only non-trivial …

Oct 17, 2016 · Finally for now, conjugate elements in a group always have the same order (since conjugation by an element of the group is an automorphism). This comes in handy when …

Oct 31, 2019 · As angryavian says in their comment, the word conjugate gets used slightly differently in different areas of mathematics, but there is an underlying theme. The word …

Oct 17, 2011 · I am learning group theory, and while learning automorphisms, I came across conjugation as an example in many textbooks. Though the definition itself, (and when …

May 11, 2023 · Is conjugation provably unique in some significant way; why is there not some other use of group operations defining alternatively "inner" automorphisms? Why are normal …

Jun 17, 2020 · 4 I'm stumped on an equation from a coursera course (Intro to DSP) that has to do with complex exponential multiplication: In line 2, by simple rules of complex multiplication, it …

Aug 11, 2023 · A good mental model for conjugation is changing coordinates (this can be made precise). Your question comes down to this: should we think of a rotation as spinning the …

Jan 21, 2014 · You have a number $\sqrt {x}+2\sqrt {b}$ and you're asking for the conjugate. Most times this refers to the complex conjugate, which involves replacing the imaginary part of the …

Dec 10, 2021 · Conjugation method in solving limits Ask Question Asked 3 years, 11 months ago Modified 3 years, 11 months ago