• Title/Summary/Keyword: group communications

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A GALOIS EXTENSION WITH GALOIS GROUP DIHEDRAL GROUP OR GENERALIZED QUATERNION GROUP

  • Hwang, Yoon-Sung
    • Communications of the Korean Mathematical Society
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    • v.20 no.4
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    • pp.641-644
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    • 2005

  • Let L/F be a Galois quadratic extension such that F contains a primitive n-th root of 1. Let N = L(${\alpha}^{{\frac{1}{n}}$) where ${\alpha}{\in}L{\ast}$. We show that if $N_{L/F}({\alpha})\;{\in}L^n{\cap}F$, and [N : L] = m, then $G(N/ F) {\simeq}D_m$ or generalized quaternion group whether $N_{L/F}({\alpha})\;{\in}\;F^n\;or\;{\notin}F^n$, respectively.

  • https://doi.org/10.4134/CKMS.2005.20.4.641 인용 PDF KSCI

PICARD GROUP OF A SURFACE IN $P^3$

  • Kim, Sung-Ock
    • Communications of the Korean Mathematical Society
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    • v.11 no.4
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    • pp.881-885
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    • 1996

  • We give the optimal lower bound for the Picard number of certain surfaces in the Noether-Lefschetz locus.

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