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- W2593578992 abstract "A finite group of order divisible by 3 in which centralizers of 3-elements are 3-subgroups will be called a C{theta}{theta}-group. The prime graph (or Gruenberg-Kegel graph) of a finite group G is denoted by {Gamma}(G) (or GK(G)) and its a familiar. Also the degrees sequence of {Gamma}(G) is called the degree pattern of G and is denoted by D(G). In this paper, first we classify the finite C{theta}{theta}-groups with even order. Then we show that there are infinitely many C{theta}{theta}-groups with the same degree pattern. Finally, we proved that the simple group PSL(2, q) and the almost simple group PGL(2, q), where q > 9 is a power of 3, are determined by their degree pattern." @default.
- W2593578992 created "2017-03-16" @default.
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- W2593578992 date "2017-03-02" @default.
- W2593578992 modified "2023-09-27" @default.
- W2593578992 title "Classification of finite C{theta}{theta}-groups with even order and its application" @default.
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