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For questions about the algebraic concept of 'character': a function from a group into a field satisfying certain properties. Not to be confused with the more commonly known psychological term.

4 votes
3 answers
553 views

Finding a character of height zero

My character theory is rather weak, so excuse me if this is a triviality. I have read on the encyclopedia of maths that for any group $G$, every block of $G$ contains an irreducible character of hei …
user26223's user avatar
  • 298
2 votes
0 answers
216 views

The tallest possible lattice?

Let O be a complete discrete valuation ring and G a finite group. Recall that a finitely generated O-free OG-module $M$ such that the traces of the invertible endomorphisms of $M$ generate a strictly …
user26223's user avatar
  • 298