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Verification of an Old Conjecture on Nonabelian 2‐generated Groups of Order p^3
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نویسنده
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Barakat Yasamin ,Sarmin Nor Haniza
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منبع
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jurnal teknologi - 2012 - دوره : 59 - شماره : September - صفحه:35 -37
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چکیده
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A longstanding conjecture in group theory states: “every finite non-abelian p-group possesses at least a non-inner automorphism of order p”, where p is a prime number. recently, an updated classification of 2-generated p-groups of nilpotency class two has been published. using this classification, we prove the verification of this conjecture for 2-generated groups of order p^3.
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کلیدواژه
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Automorphism; non-inner; 2-generated; -group; nilpotency class two
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آدرس
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Universiti Teknologi Malaysia, Faculty of Science, Department of Mathematical Sciences, Malaysia. islamic azad university, ایران, Universiti Teknologi Malaysia, Faculty of Science, Ibnu Sina Institute for Fundamental Science Studies, Department of Mathematical Sciences, Malaysia
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Authors
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