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the validity of a thompson’s problem for psl(4, 7)
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نویسنده
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khosravi behrooz ,kalantarpour cyrus
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منبع
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aut journal of mathematics and computing - 2020 - دوره : 1 - شماره : 1 - صفحه:89 -94
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چکیده
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Let πe(g) be the set of elements orders of g. also let sn be the number of elements of order n in g and nse(g)={sn ⎸n ∈ πe(g)}. in this paper, we prove that if g is a group such that nse(g) = nse(psl(4,7)), 19 ⎸⎸g⎸ and 19^2 ⎸⎸g, then g = psl(4,7). as a consequence of this result, it follows that thompson’s problem is satisfied for the simple group psl(4,7).
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کلیدواژه
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thompson’s problem ,characterization ,number of elements of the same order ,projective special linear group ,hall subgroup ,nse ,sporadic groups ,python
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آدرس
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amirkabir university of technology, department of mathematics and computer science, iran, amirkabir university of technology, department of mathematics and computer science, iran
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پست الکترونیکی
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siruscag@aut.ac.ir
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Authors
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