Class-preserving automorphisms of some finite p-groups
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- 作者：DEEPAK GUMBER ; MAHAK SHARMA
- 关键词：Class ; preserving automorphism ; p ; group ; central automorphism. ; 20D45 ; 20D15.
- 刊名：Proceedings Mathematical Sciences
- 出版年：2015
- 出版时间：May 2015
- 年：2015
- 卷：125
- 期：2
- 页码：181-186
- 全文大小：115 KB
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MAHAK SHARMA (2)
1. School of Mathematics and Computer Applications, Thapar University, Patiala, 147 004, India
2. Department of Applied Sciences and Humanities, Baddi University of Emerging Sciences and Technology, Baddi, 173 205, India - 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Mathematics - 出版者：Springer India
- ISSN：0973-7685
文摘
Let G be a finite p-group of order p 5, where p is a prime. We give necessary and sufficient conditions on G such that G has a non-inner class-preserving automorphism. As a consequence, we give short and alternate proofs of results of Yadav (§5 of Proc. Indian Acad. Sci. (Math. Sci.) 118 (2008) 1-1) and Kalra and Gumber (Theorem 4.2 of Indian J. Pure Appl. Math. 44 (2013) 711-25).