Class-preserving automorphisms of some finite p-groups

被引:0
作者
DEEPAK GUMBER
MAHAK SHARMA
机构
[1] Thapar University,School of Mathematics and Computer Applications
[2] Baddi University of Emerging Sciences and Technology,Department of Applied Sciences and Humanities
来源
Proceedings - Mathematical Sciences | 2015年 / 125卷
关键词
Class-preserving automorphism; -group; central automorphism.; 20D45, 20D15.;
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摘要
Let G be a finite p-group of order p5, 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) 1–11) and Kalra and Gumber (Theorem 4.2 of Indian J. Pure Appl. Math.44 (2013) 711–725).
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页码:181 / 186
页数:5
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