RECOGNITION BY PRIME GRAPH OF THE ALMOST SIMPLE GROUP PGL (2; 25)

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MAHMOUDIFAR A.

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Journal Paper

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Journal: Journal of Linear and Topological Algebra Year:2016 | Volume:5 | Issue:1 Page(s): 63-66

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Title

RECOGNITION BY PRIME GRAPH OF THE ALMOST SIMPLE GROUP PGL (2; 25)

Author(s)

MAHMOUDIFAR A. | Issue Writer Certificate

Keywords

LINEAR GROUP

ALMOST SIMPLE GROUP

PRIME GRAPH

ELEMENT ORDER

FROBENIUS GROUP

Abstract

Throughout this paper, every groups are finite. The PRIME GRAPH of a group G is denoted by G(G). Also G is called recognizable by PRIME GRAPH if for every finite group H with G (H) = G (G), we conclude that G@H. Until now, it is proved that if k is an odd number and p is an odd prime number, then PGL (2; pk) is recognizable by PRIME GRAPH. So if k is even, the recognition by PRIME GRAPH of PGL (2; pk), where p is an odd prime number, is an open problem. In this paper, we generalize this result and we prove that the ALMOST SIMPLE GROUP PGL (2; 25) is recognizable by PRIME GRAPH.

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APA: Copy

MAHMOUDIFAR, A.. (2016). RECOGNITION BY PRIME GRAPH OF THE ALMOST SIMPLE GROUP PGL (2; 25). JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, 5(1), 63-66. SID. https://sid.ir/paper/335652/en

Vancouver: Copy

MAHMOUDIFAR A.. RECOGNITION BY PRIME GRAPH OF THE ALMOST SIMPLE GROUP PGL (2; 25). JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA[Internet]. 2016;5(1):63-66. Available from: https://sid.ir/paper/335652/en

IEEE: Copy

A. MAHMOUDIFAR, “RECOGNITION BY PRIME GRAPH OF THE ALMOST SIMPLE GROUP PGL (2; 25),” JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, vol. 5, no. 1, pp. 63–66, 2016, [Online]. Available: https://sid.ir/paper/335652/en

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