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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 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 real characters of the absolute Galois group of K (i.e. the characters that factor through the Galois group of the genus field of K).

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  • Genus character (en)
  • Genuskaraktär (sv)
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  • 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 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 real characters of the absolute Galois group of K (i.e. the characters that factor through the Galois group of the genus field of K). (en)
  • Inom talteori, en del av matematiken, är en genuskaraktär av en K en karaktär av av K. I andra ord är den en kvadratisk karaktär (även känd som en reell karaktär) av den av K. Med hjälp av kan samlingen av genuskaraktärer även ses som de oramifierade kvadratiska karaktärerna av absoluta Galoisgruppen av K. (sv)
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  • 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 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 real characters of the absolute Galois group of K (i.e. the characters that factor through the Galois group of the genus field of K). (en)
  • Inom talteori, en del av matematiken, är en genuskaraktär av en K en karaktär av av K. I andra ord är den en kvadratisk karaktär (även känd som en reell karaktär) av den av K. Med hjälp av kan samlingen av genuskaraktärer även ses som de oramifierade kvadratiska karaktärerna av absoluta Galoisgruppen av K. (sv)
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