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Not every  -group can be generated by elements of the same order
Authors:
E. A. O'Brien, Carlo M. Scoppola and M. R. Vaughan-Lee
Journal:
Proc. Amer. Math. Soc. 134 (2006), 3457-3464
MSC (2000):
Primary 20D15
Posted:
June 12, 2006
MathSciNet review:
2240656
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Abstract: For every prime  , we exhibit a finite  -group which cannot be generated by a set of elements, all having the same order. This answers a long-standing question from the Kourovka Notebook.
References
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Additional Information
E. A. O'Brien
Affiliation:
Department of Mathematics, University of Auckland, Auckland, New Zealand
Email:
obrien@math.auckland.ac.nz
Carlo M. Scoppola
Affiliation:
Dipartimento di Matematica Pura ed Applicata, Universita di L'Aquila, Coppito 67010, L'Aquila, Italy
Email:
scoppola@univaq.it
M. R. Vaughan-Lee
Affiliation:
Christ Church, University of Oxford, OX1 1DP, United Kingdom
Email:
michael.vaughan-lee@christ-church.oxford.ac.uk
DOI:
http://dx.doi.org/10.1090/S0002-9939-06-08576-5
PII:
S 0002-9939(06)08576-5
Received by editor(s):
July 6, 2005
Posted:
June 12, 2006
Additional Notes:
The first author was supported by GNSAGA-INdAM and by EPSRC grant GR/S86259/01 while this paper was written
The second author is a member of GNSAGA-INdAM
Communicated by:
Jonathan I. Hall
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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