Verification of an old conjecture on nonabelian 2–generated groups of order p3
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...
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2012
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| Online Access: | 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 |
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my.utm.336382017-11-01T04:17:13Z http://eprints.utm.my/id/eprint/33638/ Verification of an old conjecture on nonabelian 2–generated groups of order p3 Barakat, Yasamin Sarmin, Nor Haniza Q Science 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. Penerbit UTM Press 2012 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/33638/1/NorHanizaSarmin2012_VerificationofAnOldConjectureonNonabelian.pdf 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 http://www.jurnalteknologi.utm.my/index.php/jurnalteknologi/article/view/1265 |
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Q Science Barakat, Yasamin Sarmin, Nor Haniza Verification of an old conjecture on nonabelian 2–generated groups of order p3 |
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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 p3. |
| format |
Article |
| author |
Barakat, Yasamin Sarmin, Nor Haniza |
| author_facet |
Barakat, Yasamin Sarmin, Nor Haniza |
| author_sort |
Barakat, Yasamin |
| title |
Verification of an old conjecture on nonabelian 2–generated groups of order p3 |
| title_short |
Verification of an old conjecture on nonabelian 2–generated groups of order p3 |
| title_full |
Verification of an old conjecture on nonabelian 2–generated groups of order p3 |
| title_fullStr |
Verification of an old conjecture on nonabelian 2–generated groups of order p3 |
| title_full_unstemmed |
Verification of an old conjecture on nonabelian 2–generated groups of order p3 |
| title_sort |
verification of an old conjecture on nonabelian 2–generated groups of order p3 |
| publisher |
Penerbit UTM Press |
| publishDate |
2012 |
| url |
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 |
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