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Showing 2009 · math.GRShow all
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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…