On equality of derival and inner automorphisms of some p-groups
For a group G, D(G) denotes the group of all derival automorphisms of G. For a finite nilpotent group of class 2, it is shown that $ D(G)\cong Hom(G/\gamma _{2}(G),\gamma _{2}(G)) $. We prove that if G is a nilpotent group of class $ \ge 3 $ such that $ Z(G)\subseteq \gamma _{2}(G) $ and $ D(G/Z(G))...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2016-12-01
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| Series: | Cogent Mathematics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/23311835.2016.1193103 |