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math.GR2018★ 4 cited
An improved diameter bound for finite simple groups of Lie type
Zoltán Halasi, Attila Maróti, László Pyber +1
For a finite group , let denote the maximum diameter of a connected Cayley graph of . A well-known conjecture of Babai states that is bo…
math.GR2018
Finite simple groups with short Galois orbits on conjugacy classes
Victor Bovdi, Thomas Breuer, Attila Maróti
All finite simple groups are determined with the property that every Galois orbit on conjugacy classes has size at most 4. From this we list all finite simple groups for which…