Title of article :
Verification of an Old Conjecture on Nonabelian 2‐generated Groups of Order p^3
Author/Authors :
Barakat, Yasamin Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematical Sciences, Malaysia , Barakat, Yasamin islamic azad university, ايران , Sarmin, Nor Haniza Universiti Teknologi Malaysia - Faculty of Science, Ibnu Sina Institute for Fundamental Science Studies - Department of Mathematical Sciences, Malaysia
Abstract :
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.
Keywords :
Automorphism , non , inner , 2 , generated , , group , nilpotency class two
Journal title :
Jurnal Teknologi :F
Journal title :
Jurnal Teknologi :F
