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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1804.07698 |
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| _version_ | 1866910347501240320 |
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| author | Singh, Sandeep Kalra, Hemant Garg, Rohit |
| author_facet | Singh, Sandeep Kalra, Hemant Garg, Rohit |
| contents | A long-standing conjecture asserts that every finite non-abelian $p$-group has a non-inner automorphism of order $p$. In this paper, we settle the conjecture for a finite $p$-group ($p >2$) of nilpotency class $n$ with certain conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1804_07698 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | On the non-inner automorphism conjecture of finite $p$-groups Singh, Sandeep Kalra, Hemant Garg, Rohit Group Theory 05C60, 20F18 A long-standing conjecture asserts that every finite non-abelian $p$-group has a non-inner automorphism of order $p$. In this paper, we settle the conjecture for a finite $p$-group ($p >2$) of nilpotency class $n$ with certain conditions. |
| title | On the non-inner automorphism conjecture of finite $p$-groups |
| topic | Group Theory 05C60, 20F18 |
| url | https://arxiv.org/abs/1804.07698 |