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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit UTM Press
2012
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| Subjects: | |
| 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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| Summary: | 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. |
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