Abstract
Four infinite families of 2-groups are presented, all of whose members possess an outer automorphism that preserves conjugacy classes. The groups in these families are central extensions of their predecessors by a cyclic group of order 2. For each integer , there is precisely one 2-group of nilpotency class in each of the four families. All other known families of 2-groups possessing a class-preserving outer automorphism consist entirely of groups of nilpotency class 2.
Citation
Peter Brooksbank. Matthew Mizuhara. "On groups with a class-preserving outer automorphism." Involve 7 (2) 171 - 179, 2014. https://doi.org/10.2140/involve.2014.7.171
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