Commutators in Finite Simple Groups of Lie Type
By R. Gow. 2000
66 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/b6beaca756a6841f125f86cb722535cbba452120
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
In Discrete Mathematics and Combinatorics
- Robert M. Guralnick
- Aner Shalev
- Pham Huu Tiep
- Martin W. Liebeck
- Gunter Malle
- Timothy C. Burness
- Jason E. Fulman
- Shelly Garion
In Mathematical Physics
- Aner Shalev
- Robert M. Guralnick
- Martin W. Liebeck
- Pham Huu Tiep
- Gunter Malle
- Timothy C. Burness
- Shelly Garion
- Jason E. Fulman
Citations in the corpus
- Word maps, conjugacy classes, and a noncommutative Waring-type theorem (2009, background): “However, the behavior of C1C2 for classes Ci of regular semisimple elements outside split tori is much less understood (see Gow [11] for interesting partial information).”
- The Ore conjecture (2010, background): “Gow [22] proved that the conjecture holds for the symplectic groups PSp2n(q) if q ≡ 1 mod 4, and in [23] proved that every semisimple element of a finite simple group of Lie type is a commutator.”
- Products of conjugacy classes and fixed point spaces (2010, background): “By a result of Gow [21], we may assume that C3 consists of non-semisimple elements and so the Steinberg character vanishes on C3.”