2-RECOGNIZABILITY OF THE SIMPLE GROUPS BN (3) AND CN (3) BY PRIME GRAPH

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FOROUDI GHASEMABADI MAHNAZ; IRANMANESH ALI; AHANJIDEH NEDA

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ISSN: 2588-4824

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Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2013 | Volume:39 | Issue:6 Page(s): 1273-1281

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Title

2-RECOGNIZABILITY OF THE SIMPLE GROUPS BN (3) AND CN (3) BY PRIME GRAPH

Author(s)

FOROUDI GHASEMABADI MAHNAZ | IRANMANESH ALI | AHANJIDEH NEDA | Issue Writer Certificate

Keywords

PRIME GRAPH

CLASSIFICATION OF FINITE SIMPLE GROUPS

RECOGNITION

SPECTRUM

Abstract

Let G be a finite group and let GK (G) be the PRIME GRAPH of G. We assume that n³5, is an odd number. In the paper, we show that the simple groups Bn (3) and Cn (3) are 2-recognizable by their PRIME GRAPHs. As the result, the characterizability of the groups Bn (3) and Cn (3) by their spectra and by the set of orders of maximal abelian subgroups are obtained. Also, we conclude that the AAM's conjecture is true for these groups.

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APA: Copy

FOROUDI GHASEMABADI, MAHNAZ, IRANMANESH, ALI, & AHANJIDEH, NEDA. (2013). 2-RECOGNIZABILITY OF THE SIMPLE GROUPS B_N (3) AND C_N (3) BY PRIME GRAPH. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 39(6), 1273-1281. SID. https://sid.ir/paper/614831/en

Vancouver: Copy

FOROUDI GHASEMABADI MAHNAZ, IRANMANESH ALI, AHANJIDEH NEDA. 2-RECOGNIZABILITY OF THE SIMPLE GROUPS B_N (3) AND C_N (3) BY PRIME GRAPH. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2013;39(6):1273-1281. Available from: https://sid.ir/paper/614831/en

IEEE: Copy

MAHNAZ FOROUDI GHASEMABADI, ALI IRANMANESH, and NEDA AHANJIDEH, “2-RECOGNIZABILITY OF THE SIMPLE GROUPS B_N (3) AND C_N (3) BY PRIME GRAPH,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 39, no. 6, pp. 1273–1281, 2013, [Online]. Available: https://sid.ir/paper/614831/en

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