Geodesic
ON NON-CO-HOPFIAN P-GROUPS WITH FINITE DERIVED SUBGROUP
Glasgow mathematical journal, Tome 46 (2004) no. 2, pp. 363-369

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DOI

In this article the following are proved: 1. Let $G$ be an infinite $p$-group of cardinality either ${\bf {\mathbb N}_{0}}$ or greater than $2^{\bf {\mathbb N}_{0}}$. If $G$ is center-by-finite and non-$\skew5\check{C}$ernikov, then it is non-co-Hopfian; that is, $G$ is isomorphic to a proper subgroup of itself. 2. Let $G$ be a nilpotent $p$-group of class $2$ with $G/G'$ a non-$\skew5\check{C}$ernikov group of cardinality ${\bf {\mathbb N}_{0}}$ or greater than $2^{{\bf {\mathbb N}_{0}}}$. If $G'$ is of order $p$, then $G$ is non-co-Hopfian.
DOI : 10.1017/S0017089504001843
Mots-clés : 20E07, 20F18, 20F24 
ARIKAN, AHMET. ON NON-CO-HOPFIAN P-GROUPS WITH FINITE DERIVED SUBGROUP. Glasgow mathematical journal, Tome 46 (2004) no. 2, pp. 363-369. doi: 10.1017/S0017089504001843
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     title = {ON {NON-CO-HOPFIAN} {P-GROUPS} {WITH} {FINITE} {DERIVED} {SUBGROUP}},
     journal = {Glasgow mathematical journal},
     pages = {363--369},
     year = {2004},
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     doi = {10.1017/S0017089504001843},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089504001843/}
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