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Explicit computation of Galois p-groups unramified at p

✍ Scribed by Nigel Boston; Charles Leedham-Green

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 120 KB
Volume: 256
Category: Article
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(02)00028-5

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✦ Synopsis

We introduce a new method for finding Galois groups, by modifying the p-group generation algorithm using number-theoretical information. Thus, by exhaustive search, we calculate the Galois groups of some p-extensions that were previously beyond reach.

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