Class-preserving automorphism;
-group;
central automorphism.;
20D45, 20D15.;
D O I:
暂无
中图分类号:
学科分类号:
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).