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11R29 Class numbers, class groups, discriminants (45 articles)

• El Hamam, Moha Ben Taleb: The unit group of some fields of the form $\mathbb {Q}(\sqrt {2}, \sqrt {p}, \sqrt {q}, \sqrt {-l})$. (English). Mathematica Bohemica, vol. 149 (2024), issue 1, pp. 49-55
• Mayer, Daniel C.: Bicyclic commutator quotients with one non-elementary component. (English). Mathematica Bohemica, vol. 148 (2023), issue 2, pp. 149-180
• Mishra, Mohit: Lower bound for class numbers of certain real quadratic fields. (English). Czechoslovak Mathematical Journal, vol. 73 (2023), issue 1, pp. 1-14
• Ram, Mahesh Kumar: On the class number of the maximal real subfields of a family of cyclotomic fields. (English). Czechoslovak Mathematical Journal, vol. 73 (2023), issue 3, pp. 937-940
• Chems-Eddin, Mohamed Mahmoud: On units of some fields of the form $\mathbb {Q}\big (\sqrt 2, \sqrt {p}, \sqrt {q}, \sqrt {-l}\big )$. (English). Mathematica Bohemica, vol. 148 (2023), issue 2, pp. 237-242
• Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader: Note on the Hilbert 2-class field tower. (English). Mathematica Bohemica, vol. 147 (2022), issue 4, pp. 513-524
• Jerrari, Idriss; Azizi, Abdelmalek: On the structure of the 2-Iwasawa module of some number fields of degree 16. (English). Czechoslovak Mathematical Journal, vol. 72 (2022), issue 4, pp. 1145-1156
• Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader: On some imaginary triquadratic number fields $k$ with ${\rm Cl}_2(k) \simeq (2, 4)$ or $(2, 2, 2)$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 62 (2021), issue 1, pp. 1-14
• Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader: On the $2$-class group of some number fields with large degree. (English). Archivum Mathematicum, vol. 57 (2021), issue 1, pp. 13-26
• Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader; Jerrari, Idriss: On the Hilbert $2$-class field tower of some imaginary biquadratic number fields. (English). Czechoslovak Mathematical Journal, vol. 71 (2021), issue 1, pp. 269-281
• Chakraborty, Kalyan; Hoque, Azizul: Exponent of class group of certain imaginary quadratic fields. (English). Czechoslovak Mathematical Journal, vol. 70 (2020), issue 4, pp. 1167-1178
• Azizi, Abdelmalek; Benamara, Jamal; Ismaili, Moulay Chrif; Talbi, Mohammed: The reduced ideals of a special order in a pure cubic number field. (English). Archivum Mathematicum, vol. 56 (2020), issue 3, pp. 171-182
• Essahel, Said; Dakkak, Ahmed; Mouhib, Ali: Real quadratic number fields with metacyclic Hilbert $2$-class field tower. (English). Mathematica Bohemica, vol. 144 (2019), issue 2, pp. 177-190
• Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed: On the strongly ambiguous classes of some biquadratic number fields. (English). Mathematica Bohemica, vol. 141 (2016), issue 3, pp. 363-384
• Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed: Sur un problème de capitulation du corps $\mathbb {Q}(\sqrt {p_1p_2},\rm i)$ dont le $2$-groupe de classes est élémentaire. (French) [On a capitulation problem over the field $\mathbb {Q}(\sqrt {p_1p_2},\rm i)$ with elementary $2$-class group]. Czechoslovak Mathematical Journal, vol. 64 (2014), issue 1, pp. 11-29
• Hirabayashi, Mikihito: A determinant formula for the relative class number of an imaginary abelian number field. (English). Communications in Mathematics, vol. 22 (2014), issue 2, pp. 133-140
• Herman, Jan: Annihilators of the class group of a compositum of quadratic fields. (English). Archivum Mathematicum, vol. 49 (2013), issue 4, pp. 209-222
• Azizi, Abdelmalek; Mouhib, Ali: On the Hilbert $2$-class field tower of some abelian $2$-extensions over the field of rational numbers. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 4, pp. 1135-1148
• Lemmermeyer, F.: Why is the class number of $\mathbb Q(\root 3\of {11})$ even?. (English). Mathematica Bohemica, vol. 138 (2013), issue 2, pp. 149-163
• Kraemer, Pavel: Stickelberger ideal of a compositum of a real bicyclic field and a quadratic imaginary field. (English). Mathematica Slovaca, vol. 56 (2006), issue 4, pp. 415-425
• Bulant, Michal: On Washington group of circular units of some composita of quadratic fields. (English). Mathematica Slovaca, vol. 55 (2005), issue 1, pp. 39-46
• Jakubec, Stanislav: Computational proof of some theorems on class numbers. (English). Mathematica Slovaca, vol. 54 (2004), issue 5, pp. 527-533
• Schlage-Puchta, Jan-Christoph: Finiteness of a class of Rabinowitsch polynomials. (English). Archivum Mathematicum, vol. 40 (2004), issue 3, pp. 259-261
• Louboutin, Stéphane; Yang, Hee-Sun; Kwon, Soun-Hi: The non-normal quartic CM-fields and the dihedral octic CM-fields with ideal class groups of exponent $\le 2$. (English). Mathematica Slovaca, vol. 54 (2004), issue 5, pp. 535-574
• Jakubec, Stanislav: Schinzel's conjecture and divisibility of class number $h^+_p$. (English). Mathematica Slovaca, vol. 53 (2003), issue 4, pp. 369-372
• Boutteaux, Gérard; Louboutin, Stéphane: The class number one problem for the non-normal sextic CM-fields. Part 2. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 10 (2002), issue 1, pp. 3-23
• Bulant, Michal: Class number parity of a compositum of five quadratic fields. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 10 (2002), issue 1, pp. 25-34
• Kučera, Radan: Formulae for the relative class number of an imaginary abelian field in the form of a product of determinants. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 10 (2002), issue 1, pp. 79-83
• Selmane, Schehrazad: Quadratic extensions of quintic fields of signature $(3,1)$. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 10 (2002), issue 1, pp. 117-123
• Jakubec, Stanislav: Note on a certain sums of integer parts. (English). Mathematica Slovaca, vol. 51 (2001), issue 1, pp. 59-62
• Greither, Cornelius: Galois-Cohen-Lenstra heuristics. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 8 (2000), issue 1, pp. 33-43
• Trojovský, Pavel: On divisibility of the class number $h^+$ of the real cyclotomic fields $\Bbb Q(\zeta _p+\zeta _p^{-1})$ by primes $q < 10000$. (English). Mathematica Slovaca, vol. 50 (2000), issue 5, pp. 541-555
• Jedelský, David; Skula, Ladislav: Some results from the tables of irregularity index of a prime. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 8 (2000), issue 1, pp. 45-50
• Jakubec, Stanislav: Congruence of Ankeny-Artin-Chowla type for cyclic fields. (English). Mathematica Slovaca, vol. 48 (1998), issue 3, pp. 323-326
• Louboutin, S.; Newman, M. F.: On the diophantine equation $xy+yz+zx=d$. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 6 (1998), issue 1, pp. 155-158
• Bulant, Michal: On the parity of the class number of the field $\Bbb Q(\sqrt p,\sqrt q,\sqrt r)$. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 6 (1998), issue 1, pp. 41-52
• Metsänkylä, Tauno: On the parity of the class numbers of real abelian fields. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 6 (1998), issue 1, pp. 159-166
• Agoh, Takashi: Stickelberger subideals related to Kummer type congruences. (English). Mathematica Slovaca, vol. 48 (1998), issue 4, pp. 347-364
• Szymiczek, Kazimierz: Knebusch-Milnor exact sequence and parity of class numbers. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 4 (1996), issue 1, pp. 83-95
• Agoh, Takashi; Mori, Kenichi: Kummer type system of congruences and bases of Stickelberger subideals. (English). Archivum Mathematicum, vol. 32 (1996), issue 3, pp. 211-232
• Jakubec, Stanislav: On divisibility of $h\sp +$ by the prime $5$. (English). Mathematica Slovaca, vol. 44 (1994), issue 5, pp. 651-661
• Jakubec, Stanislav: On divisibility of the class number of real octic fields of a prime conductor $p=n\sp 4+16$ by $p$. (English). Archivum Mathematicum, vol. 30 (1994), issue 4, pp. 263-270
• Kostra, Juraj: Remark on the minimum discriminant of normal fields. (English). Czechoslovak Mathematical Journal, vol. 39 (1989), issue 4, pp. 555-558
• Koutský, Karel K Lerchovým pracím o Fermatově kvocientu (Czech). Práce Moravské přírodovědecké společnosti 18, Brno 1947, 1-7
• Lerch, Matyáš Zur Theorie des Fermatschen Quotienten $\frac{a^p-1}{p} = q(a)$ (German) [On the theory of Fermat quotients $\frac{a^p-1}{p} = q(a)$]. Math. Ann. 60 (1905), 471--490