322 citations
- Texas A&M UniversityUS20 papers
- Michigan State UniversityUS17 papers
- University of California San DiegoUS17 papers
- University of LiverpoolGB17 papers
- Argonne National LaboratoryUS16 papers
- Brandeis UniversityUS16 papers
- Carnegie Mellon UniversityUS16 papers
- Comenius University BratislavaSK16 papers
- Duke UniversityUS16 papers
- Fermi National Accelerator LaboratoryUS16 papers
- Harvard University PressUS16 papers
- Johns Hopkins UniversityUS16 papers
Showing math.GRShow all
2 papers · 1 filter
math.GR2009★ 2 cited
A solvable version of the Baer--Suzuki Theorem
Simon Guest
Suppose that G is a finite group and x in G has prime order p > 3. Then x is contained in the solvable radical of G if (and only if) <x,x^g> is solvable for all g in G. If G is an…
math.GR2009
Characterizations of the Solvable Radical
Paul Flavell, Simon Guest, Robert Guralnick
We prove that there exists a constant with the property: if $\calC$ is a conjugacy class of a finite group such that every elements of $\calC$\ generate a solvable subg…