A Note on the Normalizer Property for Integral Group Rings of Finite Groups
Authors
Z. Hua, J.K. Hai
Corresponding Author
Z. Hua
Available Online July 2015.
- DOI
- 10.2991/eame-15.2015.167How to use a DOI?
- Keywords
- coleman automorphisms; class-preserving automorphisms; normalizer property
- Abstract
et G be a finite group with an abelian Sylow 2-subgroup. Let N be a nilpotent normal subgroup of index in G at most 5. Then the normalizer property holds for G. The result generalizes a well-known result due to Li, Sehgal and Parmenter.
- Copyright
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Z. Hua AU - J.K. Hai PY - 2015/07 DA - 2015/07 TI - A Note on the Normalizer Property for Integral Group Rings of Finite Groups BT - Proceedings of the 2015 International Conference on Electrical, Automation and Mechanical Engineering PB - Atlantis Press SP - 603 EP - 606 SN - 2352-5401 UR - https://doi.org/10.2991/eame-15.2015.167 DO - 10.2991/eame-15.2015.167 ID - Hua2015/07 ER -