Most representations are not permutation representations, since every permutation representation has a vector fixed by all elements of G G, namely the vector that’s the sum of all elements of X X. In ...

As well as its gorgeous design, the formula itself is equally impressive, delivering high-performance colour with a luminous ...

The West has fractured, and Putin knows it. By German Lopez For Ukraine, a peace deal with Russia is not just about stopping the war. A deal should also prevent the next one — by convincing ...

The new Givenchy Prism Libre Glow Serum Foundation provides medium coverage and includes skin-blurring properties ...

Donald Trump is doing his damnedest to make both America and the Gaza Riviera great again. His sidekick, the creator of the much coveted Cybertruck, is clearly one of the horsemen of a new apocalypse.

President Donald Trump’s return to power has alarmed many countries around the world. It is important to remember that Trump the individual represents two deep and persistent trends in American ...

There’s an obvious map β: A(G) → R(G) \beta : A (G) \to R (G) , since any action of G G on a finite set gives a permutation representation of G G on the vector space with basis X X.