A reduction theorem for the Alperin–McKay conjecture

By Britta Spath. 2012

73 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Organic Chemistry

View Paper: https://www.semanticscholar.org/paper/4d913e71e89f4826c6a3b2ca6ee71447c83a3f82

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Gunter Malle
2. Britta Spath
3. Pham Huu Tiep
4. Gabriel Navarro
5. M. Cabanes
6. Britta Spaeth
7. Jay Taylor

In Geometry and Topology

1. Gunter Malle
2. Britta Spath
3. M. Cabanes
4. Pham Huu Tiep
5. Britta Spaeth
6. Gabriel Navarro
7. Jay Taylor

In Organic Chemistry

1. Gunter Malle

Citations in the corpus

• On the inductive Alperin–McKay and Alperin weight conjecture for groups with abelian Sylow subgroups (2014, methodology): “Here, (IN) is the inductive formulation for finite simple groups due to Späth [28] of the refinement of (AM) proposed by Isaacs and Navarro which claims the existence of bijections preserving certain congruences of character degrees.”
• Characters of odd degree (2015, methodology): “(A streamlined version of this reduction was presented in [Sp¨a13] while a novel approach to groups with self-normalising Sylow 2-subgroups was recently devised by Navarro and Tiep [NT16].)”
• The inductive Alperin–McKay and Blockwise Alperin Weight conditions for blocks with cyclic defect groups and odd primes (2013, unknown): “In [37, 38] it is shown that these conjectures hold if every finite non-abelian simple group satisfies the inductive Blockwise Alperin Weight (BAW) condition and the inductive Alperin–McKay (AM) condition.”