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Hurrelbrink, Jurgen. Circulant Graphs and 4-Ranks of Ideal Class Groups. Canadian journal of mathematics, Tome 46 (1994) no. 1, pp. 169-183. doi: 10.4153/CJM-1994-005-2
@article{10_4153_CJM_1994_005_2,
author = {Hurrelbrink, Jurgen},
title = {Circulant {Graphs} and {4-Ranks} of {Ideal} {Class} {Groups}},
journal = {Canadian journal of mathematics},
pages = {169--183},
year = {1994},
volume = {46},
number = {1},
doi = {10.4153/CJM-1994-005-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1994-005-2/}
}
[1] 1. Barrucand, P. and Cohn, H., Note on primes of type x2 + 32y2, class number and residuacity, J. reine angew. Math. 238(1969), 67–70. Google Scholar
[2] 2. Biggs, N. L., Algebraic Graph Theory, Cambridge Tracts in Math. 67, Cambridge Univ. Press, 1974. Google Scholar
[3] 3. Biggs, N. L. and White, A. T., Permutation Groups and Combinatorical Structures, London Math. Soc. Lecture Note Ser. 33, Cambridge Univ. Press, 1979. Google Scholar
[4] 4. Bollobâs, B., Random Graphs, Academic Press, London, 1985. Google Scholar
[5] 5. Brauckmann, B., 4-ranks ofS-ideal class groups, preprint, (1990). Google Scholar
[6] 6. Conner, P. E. and J. Hurrelbrink, Class Number Parity, Ser. Pure Math. 8, World Scientific, Singapore, 1988. Google Scholar
[7] 7. Gerth, F. III, The 4-class ranks of quadratic fields, Invent. Math. 77(1984), 489–515. Google Scholar
[8] 8. Gerth, F. III, The 4-class ranks of quadratic extensions of certain real quadratic fields, J. Number Theory 33(1989), 18–31. Google Scholar
[9] 9. Gras, G., Sur la norme du groupe des unites d'extensions quadratiques relatives, preprint, (1990). Google Scholar
[10] 10. Halter-Koch, F., Uber den 4-Rang der Klassengruppe quadratischerZahlkorper, J. Number Theory, ( 1984), 219–227. Google Scholar
[11] 11. Hurrelbrink, J., On the norm of the fundamental unit, preprint, (1990). Google Scholar
[12] 12. Lagarias, J. C., On determining the 4-rank of the ideal class group of a quadratic field, J. Number Theory 12(1980), 191–196. Google Scholar
[13] 13. Morton, P., Density results for the 2-ciass groups of imaginary quadratic fields, J. reine angew. Math. 332(1982), 156–187. Google Scholar
[14] 14. Rédei, L. and Reichardt, H., Die Anzahl der durch 4 teilbaren Invarianten der Klassengruppen eines beliebigen quadratischen Zahlkorpers, J. reine angew. Math. 170(1934), 69–74. Google Scholar
[15] 15. Rédei, L., Arithmetischer Beweis desSatzes uber die Anzahl der durch 4 teilbaren Invarianten der absoluten Klassengruppe im quadratischen Zahlkorper, J. reine angew. Math. 171(1935), 55–60. Google Scholar
[16] 16. Rédei, L., Uber einige Mittelwertfragen im quadratischen Zahlkorper, J. reine angew. Math. 174(1936), 131–148. Google Scholar
[17] 17. Rose, H. E., A Course in Number Theory, Oxford Science Publ., Clarendon Press, Oxford, 1988. Google Scholar
[18] 18. Stevenhagen, P., Rédei-matrices and the structure of quadratic 2-ciass groups, preprint, (1991 ). Google Scholar
[19] 19 Stevenhagen, P., On the 2-power divisibility of certain quadratic class numbers, preprint, (1991). Google Scholar
[20] 20. Uehara, T. Y., On the 4-rank of the narrow ideal class group of a quadratic field, J. Number Theory 31( 1989), 167–173. Google Scholar
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