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Coleman automorphisms of finite groups with a self-centralizing normal subgroup
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 1197-1204
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Let $G$ be a finite group with a normal subgroup $N$ such that $C_{G}(N)\leq N$. 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.\looseness -1
Let $G$ be a finite group with a normal subgroup $N$ such that $C_{G}(N)\leq N$. 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.\looseness -1
DOI : 10.21136/CMJ.2020.0423-19
Classification : 16S34, 20C05, 20C10
Keywords: Coleman automorphism; integral group ring; the normalizer property 
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Hai, Jinke. Coleman automorphisms of finite groups with a self-centralizing normal subgroup. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 1197-1204. doi: 10.21136/CMJ.2020.0423-19

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