The Waring problem for finite simple groups
نویسندگان
چکیده
منابع مشابه
A Refined Waring Problem for Finite Simple Groups
Let w1 and w2 be nontrivial words in free groups Fn1 and Fn2 , respectively. We prove that, for all sufficiently large finite nonabelian simple groups G, there exist subsets C1 ⊆ w1(G) and C2 ⊆ w2(G) such that |Ci | = O(|G|1/2 log |G|) and C1C2 = G. In particular, ifw is any nontrivial word and G is a sufficiently large finite nonabelian simple group, then w(G) contains a thin base of order 2. ...
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ژورنال
عنوان ژورنال: Annals of Mathematics
سال: 2011
ISSN: 0003-486X
DOI: 10.4007/annals.2011.174.3.10