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On Shalev's conjecture for type A(n) and (2)A(n)

Author:
Galt, Alexey  Kulshrestha, Amit  Singh, Anupam  Vdovin, Evgeny  


Journal:
JOURNAL OF GROUP THEORY


Issue Date:
2019


Abstract(summary):

In the paper, we consider images of finite simple projective special linear and unitary groups under power words. In particular, we show that, if G similar or equal to PSLn epsilon (q), then, for every power word of type x(M), there exist constants c and N such that vertical bar omega(G)vertical bar > c ln(n) vertical bar G vertical bar/n whenever vertical bar G vertical bar& > N.


Page:
713---728


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