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math.GR2013★ 1 cited
A Refined Waring Problem for Finite Simple Groups
Michael Larsen, Pham Huu Tiep
Let v and w be nontrivial words in two free groups. We prove that, for all sufficiently large finite non-abelian simple groups G, there exist subsets C of v(G) and D of w(G) of siz…
math.GR2013
Nilpotent and Abelian Hall Subgroups in Finite Groups
Antonio Beltrán, María José Felipe, Gunter Malle +4
We give a characterization of the finite groups having nilpotent or abelian Hall -subgroups which can easily be verified from the character table.
math.GR2013
Effective Results on the Waring Problem for Finite Simple Groups
Robert M. Guralnick, Pham Huu Tiep
Let G be a finite quasisimple group of Lie type. We show that there are regular semisimple elements x,y in G, x of prime order, and |y| is divisible by at most two primes, such tha…