@article{Zhang2025, 
author = {Liang Zhang and Jinke Hai},
title = {The normalizer problem for finite groups with prescribed 2-subgroups},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {7},
pages = {16889-16897},
keywords = {central units, normalizer property, the integral group ring, class-preserving Coleman automorphisms},
url = {https://www.sciopen.com/article/10.3934/math.2025759},
doi = {10.3934/math.2025759},
abstract = {Suppose that    X is a finite group with prescribed    2-subgroups. Under certain conditions, it is shown that the normalizer property holds for    X. In particular, let    X be a semidirect product of a normal    2-complement        O                  2        ′              (  X  ) by a Sylow    2-subgroup    P. If        m          3       is conjugate to    m or        m          −      1      , for all    m  ∈  P, then    X has the normalizer property. Our result generalizes a result due to Mazur, which states that the normalizer property holds for finite groups that have the Sylow    2-subgroup of order    2.}
}