CHARACTERIZATION OF THE GROUPS Dp+1(2) AND Dp+1(3) USING ORDER COMPONENTS

Title & Authors
CHARACTERIZATION OF THE GROUPS Dp+1(2) AND Dp+1(3) USING ORDER COMPONENTS

Abstract
In this paper we will prove that the groups $\small{D_{p+1}}$(2) and $\small{D_{p+1}}$(3), where p is an odd prime number, are uniquely determined by their sets of order components. A main consequence of our result is the validity of Thompson`s conjecture for the groups $\small{D_{p+1}}$(2) and $\small{D_{p+1}}$(3).
Keywords
prime graph;order component;linear group;
Language
English
Cited by
1.
ON THE THOMPSON'S CONJECTURE ON CONJUGACY CLASSES SIZES, International Journal of Algebra and Computation, 2013, 23, 01, 37
2.
Characterization of G 2(q), where 2 < q ≡ −1(mod 3), by order components, Siberian Mathematical Journal, 2013, 54, 5, 883
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