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Remarks concerning the 2-Hilbert class field of imaginary quadratic number fields: Corrigenda

Published online by Cambridge University Press:  17 April 2009

Elliot Benjamin
Elliot Benjamin
Affiliation:
Mathematics DepartmentUnity CollegeUnity ME 04988-9502United States of America
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In my earlier paper [1] I made the claim that there are three groups in Hall and Senior's book “The Groups of Order 2n(n ≤ 6)” that are in error (groups 64/140, 64/141, 64/143). However, it has been pointed out to me by Franz Lemermeyer that I made the unfortunate oversight of using the definition [x, y] = xyx−1y−1 for the commutator whereas Hall and Senion use the definition [x, y] = x−1y−1xy (see [2]). With this correction there is no problem with the above three groups in Hall and Senior.

Type
Corrigendum
Information
Bulletin of the Australian Mathematical Society , Volume 50 , Issue 2 , October 1994 , pp. 351 - 352
Copyright
Copyright © Australian Mathematical Society 1994

References

[1]Benjamin, E., ‘Remarks concerning the 2-Hilbert class field of imaginary quadratic number fields’, Bull. Austral. Math. Soc. 48 (1993), 379–383.Google Scholar
[2]Hall, M. and Senior, J.K., The groups of order 2n(n ≤ 6) (Macmillan, New York, 1964).Google Scholar