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Genus character : ウィキペディア英語版 | Genus character
In number theory, a genus character of a quadratic number field ''K'' is a character of the genus group of ''K''. In other words, it is a quadratic character (also known as a ''real character'') of the narrow class group of ''K''. Reinterpreting this using the Artin map, the collection of genus characters can also be thought of as the unramified quadratic characters of the absolute Galois group of ''K'' (i.e. the characters that factor through the Galois group of the genus field of ''K''). ==References==
* *Section 12.5 of *Section 2.3 of
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