ON NON-ISOMORPHIC GROUPS WITH THE SAME SET OF ORDER COMPONENTS

Title & Authors
ON NON-ISOMORPHIC GROUPS WITH THE SAME SET OF ORDER COMPONENTS
Darafsheh, Mohammad Reza;

Abstract
In this paper we will prove that the simple groups $\small{B_p(3)\;and\;G_p(3)}$, p an odd prime number, are 2-recognizable by the set of their order components. More precisely we will prove that if G is a finite group and OC(G) denotes the set of order components of G, then OC(G)
Keywords
prime graph;order component;linear group;
Language
English
Cited by
1.
CHARACTERIZATION OF THE GROUPS Dp+1(2) AND Dp+1(3) USING ORDER COMPONENTS,;

대한수학회지, 2010. vol.47. 2, pp.311-329
1.
CHARACTERIZATION OF THE GROUPS Dp+1(2) AND Dp+1(3) USING ORDER COMPONENTS, Journal of the Korean Mathematical Society, 2010, 47, 2, 311
2.
Characterizability of the group 2 D p(3) by its order components, where p ≥ 5 is a prime number not of the form 2 m + 1, Acta Mathematica Sinica, English Series, 2008, 24, 7, 1117
3.
A characterization of the group 2 D n (2), where n=2 m +1≥5, Journal of Applied Mathematics and Computing, 2009, 31, 1-2, 447
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