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EnglishThere are several examples in the literature of finite non-abelian $p$-groups whose automorphism group is abelian. For some time only examples that were special $p$-groups were known, until Jain and Yadav [JY12] and Jain, Rai and Yadav [JRY13] constructed several non-special examples. In this paper we show how a simple module-theoretic approach allows the construction of non-special examples, starting from special ones constructed by several authors, while at the same time avoiding further direct calculations.
| Titolo: | A module-theoretic approach to abelian automorphism groups |
| Autori Unitn: | |
| Anno di pubblicazione: | 2015 |
| Titolo del periodico: | |
| Abstract: | There are several examples in the literature of finite non-abelian $p$-groups whose automorphism group is abelian. For some time only examples that were special $p$-groups were known, until Jain and Yadav [JY12] and Jain, Rai and Yadav [JRY13] constructed several non-special examples. In this paper we show how a simple module-theoretic approach allows the construction of non-special examples, starting from special ones constructed by several authors, while at the same time avoiding further direct calculations. |
| Handle: | http://hdl.handle.net/11572/107393 |
| Appare nelle tipologie: | 03.1 Articolo su rivista (Journal article) |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| 1306.6470.pdf | Articolo | Post-Print | Tutti i diritti riservati (All rights reserved) | Open Access Visualizza/Apri |
http://hdl.handle.net/11572/107393
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