Coleman automorphisms of the normalizers of finite p-subgroups

DOI

10.2991/itoec-16.2016.41How to use a DOI?

Keywords

Coleman automorphism; normalizer; minimal normal subgroup

Abstract

Let G be a finite group and P be a p-subgroup of G, where p is arbitrary prime dividing of |G|. If P is abnormal in G or the normalizer of P in G is a p-group, then every Coleman automorphism of G is an inner automorphism. Interest in such automorphisms arose from the study of the normalizer problem for integral group rings

Copyright

© 2016, 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/).

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TY  - CONF
AU  - Lv Ruizhen
AU  - Hai Jinke
AU  - Jin Chengcheng
PY  - 2016/05
DA  - 2016/05
TI  - Coleman automorphisms of the normalizers of finite p-subgroups
BT  - Proceedings of the 2nd Information Technology and Mechatronics Engineering Conference (ITOEC 2016)
PB  - Atlantis Press
SP  - 230
EP  - 233
SN  - 2352-5401
UR  - https://doi.org/10.2991/itoec-16.2016.41
DO  - 10.2991/itoec-16.2016.41
ID  - Ruizhen2016/05
ER  -