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

Barakat, Yasamin and Sarmin, Nor Haniza (2012) Verification of an old conjecture on nonabelian 2–generated groups of order p3. Jurnal Teknologi, 59 . pp. 35-37. ISSN 2231-7376

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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 p3.

Item Type:Article
Subjects:Q Science
Divisions:Science
ID Code:33638
Deposited By: Liza Porijo
Deposited On:30 Aug 2013 16:51
Last Modified:01 Nov 2017 12:17

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