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Finite p-groups with central automorphism almost being inner automorphism
Received date: 2016-01-06
Online published: 2017-10-30
Let G be a finite p-group and let K(G) be a subgroup of G consisting of all elements in G fixed by every central automorphism in G. A necessary and sufficient
condition is given on |Autc(G) : Inn(G)| = |Z(G) : K(G)| for a finite p-group G of class 2. The condition for |Autc(G) : Inn(G)| = p|Z(G) : K(G)| is also studied.
Key words： central kernel; inner automorphism; central automorphism
ZHANG Boru, GUO Xiuyun . Finite p-groups with central automorphism almost being inner automorphism[J]. Journal of Shanghai University, 2017 , 23(5) : 714 -721 . DOI: 10.12066/j.issn.1007-2861.1744
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