Notes on the minimal number of ramified primes in some l-extensions of Q |
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Authors: | Akito Nomura |
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Institution: | (1) Mathematics Section, Division of Innovative Technology and Science, Graduate School of Natural Science and Technology, Kanazawa University, Kanazawa 920-1192, Japan |
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Abstract: | For a finite l-group G, let ram
t
(G) denote the minimal integer such that G can be realized as the Galois group of a tamely ramified extension of Q ramified only at ram
t
(G) finite primes. We study the upper bound of ram
t
(G) and give an improvement of the result of Plans. We also give the best bound of ram
t
(G) for all 3-groups G of order less than or equal to 35.
Received: 14 September 2007 |
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Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) Primary 12F12 Secondary 11R29 |
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