In the terminology of G.
Higman, a finite group with order divisible by 3 in which centralizers of 3-elements
are 3-groups is called a C𝜃𝜃-group.
The aim of this paper is to classify simple C𝜃𝜃-groups which involve no Suzuki
simple groups.
Although simple C𝜃𝜃-groups have been studied by several authors, their general
classification remains an unsolved problem.
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