@article{Guo2024, 
author = {Jidong Guo and Liang Zhang and Jinke Hai},
title = {The normalizer problem for finite groups having normal  2-complements},
year = {2024},
journal = {Electronic Research Archive},
volume = {32},
number = {8},
pages = {4905-4912},
keywords = {the normalizer property, Coleman automorphisms, class-preserving automorphisms, normal 2-complements},
url = {https://www.sciopen.com/article/10.3934/era.2024225},
doi = {10.3934/era.2024225},
abstract = {Assume that  H is a finite group that has a normal  2-complement. Under some conditions, it is proven that the normalizer property holds for  H. In particular, if there is a nilpotent subgroup of index  2 in  H, then  H has the normalizer property. The result of Li, Sehgal and Parmenter, stating that the normalizer property holds for finite groups that have an abelian subgroup of index  2 is generalized.}
}