According to Li, Nicholson and Zan, a group $G$ is said to be morphic if, for every pair $N_1, N_2$ of normal subgroups, each of the conditions $G/N_1 \cong N_2$ and $G/N_2 \cong N_1$ implies the other. Finite, homocyclic $p$-groups are morphic, and so is the nonabelian group of order $p^3$ and exponent $p$, for $p$ an odd prime. It follows from results of An, Ding and Zhan on self dual groups that these are the only examples of finite, morphic $p$-groups. In this paper we obtain the same result under a weaker hypotesis.
Finite morphic p-groups / Caranti, Andrea; Scoppola, C. M.. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - STAMPA. - 2015:10(2015), pp. 4635-4641.
Titolo: | Finite morphic p-groups |
Autori: | Caranti, Andrea; Scoppola, C. M. |
Autori Unitn: | |
Titolo del periodico: | JOURNAL OF PURE AND APPLIED ALGEBRA |
Anno di pubblicazione: | 2015 |
Numero e parte del fascicolo: | 10 |
Codice identificativo Scopus: | 2-s2.0-84929504887 |
Codice identificativo ISI: | WOS:000356201600018 |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.jpaa.2015.02.035 |
Handle: | http://hdl.handle.net/11572/107391 |
Citazione: | Finite morphic p-groups / Caranti, Andrea; Scoppola, C. M.. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - STAMPA. - 2015:10(2015), pp. 4635-4641. |
Appare nelle tipologie: | 03.1 Articolo su rivista (Journal article) |
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