Abstract
We consider HNN extensions [Formula: see text], where [Formula: see text] are normal subgroups of [Formula: see text] and [Formula: see text]. We show that class-preserving automorphisms of those HNN extensions are all inner if [Formula: see text] satisfies certain conditions. From Grossman’s result, it follows that outer automorphism groups of such conjugacy separable HNN extensions are residually finite.
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