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In number theory, a cyclotomic character is a character of a Galois group giving the Galois action on a group of roots of unity. As a one-dimensional representation over a ring R, its representation space is generally denoted by R(1) (that is, it is a representation χ : G → AutR(R(1)) ≈ GL(1, R)).

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  • In number theory, a cyclotomic character is a character of a Galois group giving the Galois action on a group of roots of unity. As a one-dimensional representation over a ring R, its representation space is generally denoted by R(1) (that is, it is a representation χ : G → AutR(R(1)) ≈ GL(1, R)). (en)
  • 円分指標 (えんぶんしひょう Cyclotomic_character) In number theory, a cyclotomic character is a character of a Galois group giving the Galois action on a group of roots of unity. As a one-dimensional representation over a ring R, its representation space is generally denoted by R(1) (that is, it is a representation χ : G → AutR(R(1)) ≈ GL(1, R)). (ja)
  • Inom matematiken är en cyklotomisk karaktär en av en Galoisgrupp som ger Galoisverkan på en grupp av enhetsrötter. Som en endimensionell över en ring R är dess i allmänhet betecknad med R(1) (det vill säga den är en representation χ : G → AutR(R(1)) ≈ GL(1, R)). (sv)
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  • In number theory, a cyclotomic character is a character of a Galois group giving the Galois action on a group of roots of unity. As a one-dimensional representation over a ring R, its representation space is generally denoted by R(1) (that is, it is a representation χ : G → AutR(R(1)) ≈ GL(1, R)). (en)
  • 円分指標 (えんぶんしひょう Cyclotomic_character) In number theory, a cyclotomic character is a character of a Galois group giving the Galois action on a group of roots of unity. As a one-dimensional representation over a ring R, its representation space is generally denoted by R(1) (that is, it is a representation χ : G → AutR(R(1)) ≈ GL(1, R)). (ja)
  • Inom matematiken är en cyklotomisk karaktär en av en Galoisgrupp som ger Galoisverkan på en grupp av enhetsrötter. Som en endimensionell över en ring R är dess i allmänhet betecknad med R(1) (det vill säga den är en representation χ : G → AutR(R(1)) ≈ GL(1, R)). (sv)
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  • Cyclotomic character (en)
  • 円分指標 (ja)
  • Cyklotomisk karaktär (sv)
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