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Description
  • For a compositum of quadratic fields k = Q(pd1; : : : ;pds); where d1; : : : ; ds are square-free odd integers and d1 = 3 (mod 4); we study the group C of circular units of k: We construct a basis of C; compute the index of C in the full group of units of k and derive a lower bound for the divisibility of this index by a power of 2: These results give a lower bound for the divisibility of the class number of the maximal real subfield of k by a power of 2
  • For a compositum of quadratic fields k = Q(pd1; : : : ;pds); where d1; : : : ; ds are square-free odd integers and d1 = 3 (mod 4); we study the group C of circular units of k: We construct a basis of C; compute the index of C in the full group of units of k and derive a lower bound for the divisibility of this index by a power of 2: These results give a lower bound for the divisibility of the class number of the maximal real subfield of k by a power of 2 (en)
Title
  • On the index of circular units in the full group of units of a compositum of quadratic fields
  • On the index of circular units in the full group of units of a compositum of quadratic fields (en)
skos:prefLabel
  • On the index of circular units in the full group of units of a compositum of quadratic fields
  • On the index of circular units in the full group of units of a compositum of quadratic fields (en)
skos:notation
  • RIV/00216224:14310/08:00029074!RIV10-GA0-14310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/07/0191)
http://linked.open...iv/cisloPeriodika
  • 4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 384753
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/08:00029074
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • compositum of quadratic fields; circular units; the index of circular units; class number (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [0E303C2E508D]
http://linked.open...i/riv/nazevZdroje
  • Journal of Number Theory
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 128/2008
http://linked.open...iv/tvurceVysledku
  • Polický, Zdeněk
http://linked.open...ain/vavai/riv/wos
  • 000254758400024
issn
  • 0022-314X
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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