Coleman automorphisms of finite groups with a self-centralizing normal subgroup

Jinke Hai

Czechoslovak Mathematical Journal (2020)

  • Volume: 70, Issue: 4, page 1197-1204
  • ISSN: 0011-4642

Abstract

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Let G be a finite group with a normal subgroup N such that C G ( N ) ≤ N . It is shown that under some conditions, Coleman automorphisms of G are inner. Interest in such automorphisms arose from the study of the normalizer problem for integral group rings.

How to cite

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Hai, Jinke. "Coleman automorphisms of finite groups with a self-centralizing normal subgroup." Czechoslovak Mathematical Journal 70.4 (2020): 1197-1204. <http://eudml.org/doc/296941>.

@article{Hai2020,
abstract = {Let $G$ be a finite group with a normal subgroup $N$ such that $C_\{G\}(N)\le N$. It is shown that under some conditions, Coleman automorphisms of $G$ are inner. Interest in such automorphisms arose from the study of the normalizer problem for integral group rings.},
author = {Hai, Jinke},
journal = {Czechoslovak Mathematical Journal},
keywords = {Coleman automorphism; integral group ring; the normalizer property},
language = {eng},
number = {4},
pages = {1197-1204},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Coleman automorphisms of finite groups with a self-centralizing normal subgroup},
url = {http://eudml.org/doc/296941},
volume = {70},
year = {2020},
}

TY - JOUR
AU - Hai, Jinke
TI - Coleman automorphisms of finite groups with a self-centralizing normal subgroup
JO - Czechoslovak Mathematical Journal
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 70
IS - 4
SP - 1197
EP - 1204
AB - Let $G$ be a finite group with a normal subgroup $N$ such that $C_{G}(N)\le N$. It is shown that under some conditions, Coleman automorphisms of $G$ are inner. Interest in such automorphisms arose from the study of the normalizer problem for integral group rings.
LA - eng
KW - Coleman automorphism; integral group ring; the normalizer property
UR - http://eudml.org/doc/296941
ER -

References

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