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On the orders of generators of capable p-groups

Published online by Cambridge University Press:  17 April 2009

Arturo Magidin
Arturo Magidin
Affiliation:
Deptartment of Mathematical Sciences, The Unversity of Montana, Missoula MT 59812, United States of America, e-mail: [email protected]
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A group is called capable it if is a central factor group. For each prime p and positive integer c, we prove the existence of a capable p-group of class c minimally generated by an element of order p and an element of order p1+⌊c−1/p−1⌋. This is best possible.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 70 , Issue 3 , December 2004 , pp. 391 - 395
Copyright
Copyright © Australian Mathematical Society 2004

References

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