Search results for "Collatz conjecture"

Some remarks on the Erdős-Turán conjecture

1993

On Brauer’s Height Zero Conjecture

2014

In this paper, the unproven half of Richard Brauer’s Height Zero Conjecture is reduced to a question on simple groups.

The real cubic case of Mahler's conjecture

1961

New Refinements of the McKay Conjecture for Arbitrary Finite Groups

2004

Let $G$ be an arbitrary finite group and fix a prime number $p$. The McKay conjecture asserts that $G$ and the normalizer in $G$ of a Sylow $p$-subgroup have equal numbers of irreducible characters with degrees not divisible by $p$. The Alperin-McKay conjecture is a version of this as applied to individual Brauer $p$-blocks of $G$. We offer evidence that perhaps much stronger forms of both of these conjectures are true.