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math.GR2011
Waring Problem for Finite Quasisimple Groups
Michael Larsen, Aner Shalev, Pham Huu Tiep
The classical Waring problem deals with expressing every natural number as a sum of g(k) kth powers. Similar problems for finite simple groups have been studied recently, and in th…
math.GR2011★ 10 cited
Product decompositions in finite simple groups
Martin Liebeck, Nikolay Nikolov, Aner Shalev
We propose a general conjecture on decompositions of finite simple groups as products of conjugates of an arbitrary subset. We prove this conjecture for bounded subsets of arbitrar…