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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W.

Managing Editor: Wilson, John S. / Khukhro, Evgenii I. / Kramer, Linus

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Volume 10, Issue 4


Capability of nilpotent products of cyclic groups II

Arturo Magidin
  • Department of Mathematics, University of Louisiana at Lafayette, 217 Maxim Doucet Hall, P.O. Box 41010, Lafayette LA 70504-1010.
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Published Online: 2007-07-26 | DOI: https://doi.org/10.1515/JGT.2007.037


In Part I it was shown that if G is a p-group of class k, generated by elements of orders , then a necessary condition for the capability of G is that r > 1 and . It was also shown that when G is the k-nilpotent product of the cyclic groups generated by those elements and k = p = 2 or k < p, then the given conditions are also sufficient. We make a correction related to the small class case, and extend the sufficiency result to k = p for an arbitrary prime p.

About the article

Received: 2006-06-05

Revised: 2006-10-26

Published Online: 2007-07-26

Published in Print: 2007-07-20

Citation Information: Journal of Group Theory, Volume 10, Issue 4, Pages 441–451, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/JGT.2007.037.

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