A study on Ivar(G) of a p-group fixing certain subgroups
الموضوعات :
S. Barin
1
,
M. M. Nasrabadi
2
1 - Department of Mathematics, University of Birjand, Birjand, Iran
2 - Department of Mathematics, University of Birjand, Birjand, Iran
الکلمات المفتاحية: IA-group, IA-central subgroup, Ivar(G), normal subgroups,
ملخص المقالة :
Let $G$ be a group, and $M$ and $N$ be two normal subgroups of $G$. In this paper, we first introduce a subgroup $\mathcal{E}(G)$ and consider the set of all automorphisms of $G$ which centralize $G/M$ and $N$. Then we investigate the conditions in which this set of automorphisms with different $M$ and $N$ is equal or to be equal with $Ivar(G)$.
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