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.
Titolo: | A module-theoretic approach to abelian automorphism groups |
Autori: | Caranti, Andrea |
Autori Unitn: | |
Titolo del periodico: | ISRAEL JOURNAL OF MATHEMATICS |
Anno di pubblicazione: | 2015 |
Numero e parte del fascicolo: | 1 |
Codice identificativo Scopus: | 2-s2.0-84939873178 |
Codice identificativo ISI: | WOS:000350877400009 |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s11856-014-1106-z |
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 referato (Refereed author’s manuscript) | Tutti i diritti riservati (All rights reserved) | Open Access Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione