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http://dx.doi.org/10.7858/eamj.2020.021

CONJUGATING AUTOMORPHISMS OF CERTAIN HNN EXTENSIONS  

Zhou, Wei (Wei Zhou School of Mathematics and Statistics, Southwest University)
Kim, Goansu (Yeungnam University)
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Abstract
We consider HNN extensions 〈B, t : t―1Ht = K〉, where H, K are in the center of B. We show that conjugating automorphisms of those HNN extensions are inner if B satisfies certain conditions.
Keywords
HNN extensions; class-preserving automorphisms; residually finite; conjugacy separable; nilpotent groups;
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