Verification of an old conjecture on nonabelian 2–generated groups of order p3

• Main Authors: Barakat, Yasamin, Sarmin, Nor Haniza
• 格式: Article
• 語言: English
• 出版: Penerbit UTM Press 2012
• 主題: Q Science
• 在線閱讀: http://eprints.utm.my/id/eprint/33638/1/NorHanizaSarmin2012_VerificationofAnOldConjectureonNonabelian.pdf; http://eprints.utm.my/id/eprint/33638/; http://www.jurnalteknologi.utm.my/index.php/jurnalteknologi/article/view/1265

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 classif...