On the number of fundamental relations with respect to minimal generators of a p-group Dedicated to Professor Shôkichi Iyanaga on his 60th birthday

Yasumasa AKAGAWA

doi:10.2969/jmsj/02010001

On the number of fundamental relations with respect to minimal generators of a p-group

Dedicated to Professor Shôkichi Iyanaga on his 60th birthday

Yasumasa AKAGAWA

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JOURNAL FREE ACCESS

1968 Volume 20 Issue 1-2 Pages 1-12

DOI https://doi.org/10.2969/jmsj/02010001

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Published: 1968 Received: August 25, 1967 Available on J-STAGE: September 26, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 26, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : Dedicated to Professor Shokichi Iyanaga on his 60th birthday

Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) Y. Akagawa, The extension of groups and the imbedding of field, Osaka Math. J., 12 (1960), 195-215.
2) E. S. Golod and I. R. Safarevic, On the class field tower, Izv. Akad. Nauk SSSR. Ser. Mat., 28 (1964), 261-272 (Russian).
3) H. Koch, p-Erweiterungen mit vorgegebenen Verzweigungsstellen, J. reine angew. Math., 219 (1965), 30-61.
4) A. G. Kurosh, Theory of groups, vol. II, New York, 1965.
5) H. Reichardt, Konstruktion von Zahlkörpern mit gegebener Galoisgruppe von Primzahlpotenzordnung, J. reine angew. Math., 177 (1937), 1-5.
6) I. R. Safarevic, Extension with given points of ramification (in Russian, with résumé in France), Publ. Math. I.H.E.S., No. 18, 1964, 71-95.
7) J. P. Serre, Cohomologie galoisienne, Lect. Note in Math., Springer, 1964.

Right : [1] Y. Akagawa, The extension of groups and the imbedding of field, Osaka Math. J., 12 (1960), 195-215.
[2] E. S. Golod and I. R. Safarevic, On the class field tower, Izv. Akad. Nauk SSSR. Ser. Mat., 28 (1964), 261-272 (Russian).
[3] H. Koch, p-Erweiterungen mit vorgegebenen Verzweigungsstellen, J. reine angew. Math., 219 (1965), 30-61.
[4] A. G. Kurosh, Theory of groups, vol. II, New York, 1965.
[5] H. Reichardt, Konstruktion von Zahlkörpern mit gegebener Galoisgruppe von Primzahlpotenzordnung, J. reine angew. Math., 177 (1937), 1-5.
[6] I. R. Safarevic, Extension with given points of ramification (in Russian, with résumé in France), Publ. Math. I. H. E. S., No. 18, 1964, 71-95.
[7] J. P. Serre, Cohomologie galoisienne, Lect. Note in Math., Springer, 1964.

Date of correction: September 26, 2006 Reason for correction: - Correction: PDF FILE Details: -

Date of correction: September 26, 2006 Reason for correction: - Correction: SUBTITLE Details: Right : Dedicated to Professor Shôkichi Iyanaga on his 60th birthday

Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: Wrong : [1] Y. Akagawa, The extension of groups and the imbedding of field, Osaka Math. J., 12 (1960), 195-215.
[2] E. S. Golod and I. R. Safarevic, On the class field tower, Izv. Akad. Nauk SSSR. Ser. Mat., 28 (1964), 261-272 (Russian).
[3] H. Koch, p-Erweiterungen mit vorgegebenen Verzweigungsstellen, J. reine angew. Math., 219 (1965), 30-61.
[4] A. G. Kurosh, Theory of groups, vol. II, New York, 1965.
[5] H. Reichardt, Konstruktion von Zahlkörpern mit gegebener Galoisgruppe von Primzahlpotenzordnung, J. reine angew. Math., 177 (1937), 1-5.
[6] I. R. Safarevic, Extension with given points of ramification (in Russian, with résumé in France), Publ. Math. I. H. E. S., No. 18, 1964, 71-95.
[7] J. P. Serre, Cohomologie galoisienne, Lect. Note in Math., Springer, 1964.

Right : 1) Y. Akagawa, The extension of groups and the imbedding of field, Osaka Math. J., 12 (1960), 195-215.
2) E. S. Golod and I. R. Safarevic, On the class field tower, Izv. Akad. Nauk SSSR. Ser. Mat., 28 (1964), 261-272 (Russian).
3) H. Koch, p-Erweiterungen mit vorgegebenen Verzweigungsstellen, J. reine angew. Math., 219 (1965), 30-61.
4) A. G. Kurosh, Theory of groups, vol. II, New York, 1965.
5) H. Reichardt, Konstruktion von Zahlkörpern mit gegebener Galoisgruppe von Primzahlpotenzordnung, J. reine angew. Math., 177 (1937), 1-5.
6) I. R. Safarevic, Extension with given points of ramification (in Russian, with résumé in France), Publ. Math. I.H.E.S., No. 18, 1964, 71-95.
7) J. P. Serre, Cohomologie galoisienne, Lect. Note in Math., Springer, 1964.

Date of correction: September 26, 2006 Reason for correction: - Correction: PDF FILE Details: -

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