Stability of Nilpotent Groups of Class 2 and Prime Exponent
Mekler, Alan H.
J. Symbolic Logic, Tome 46 (1981) no. 1, p. 781-788 / Harvested from Project Euclid
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Let $p$ be an odd prime. A method is described which given a structure $M$ of finite similarity type produces a nilpotent group of class 2 and exponent $p$ which is in the same stability class as $M$. Theorem. There are nilpotent groups of class 2 and exponent $p$ in all stability classes. Theorem. The problem of characterizing a stability class is equivalent to characterizing the (nilpotent, class 2, exponent $p$) groups in that class.
Publié le : 1981-12-14
Classification:  
@article{1183740888,
     author = {Mekler, Alan H.},
     title = {Stability of Nilpotent Groups of Class 2 and Prime Exponent},
     journal = {J. Symbolic Logic},
     volume = {46},
     number = {1},
     year = {1981},
     pages = { 781-788},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183740888}
}

Mekler, Alan H. Stability of Nilpotent Groups of Class 2 and Prime Exponent. J. Symbolic Logic, Tome 46 (1981) no. 1, pp.  781-788. http://gdmltest.u-ga.fr/item/1183740888/