Maouche, Youcef Symbol-pair weight distribution of some irreducible cyclic codes. (English) Zbl 07699103 Cryptogr. Commun. 15, No. 1, 209-220 (2023). MSC: 94B05 94B15 PDF BibTeX XML Cite \textit{Y. Maouche}, Cryptogr. Commun. 15, No. 1, 209--220 (2023; Zbl 07699103) Full Text: DOI
Blumberg, Andrew J.; Mandell, Michael A. The eigensplitting of the fiber of the cyclotomic trace for the sphere spectrum. (English) Zbl 07662359 Trans. Am. Math. Soc. 376, No. 4, 2853-2874 (2023). MSC: 19D10 19D55 19F05 PDF BibTeX XML Cite \textit{A. J. Blumberg} and \textit{M. A. Mandell}, Trans. Am. Math. Soc. 376, No. 4, 2853--2874 (2023; Zbl 07662359) Full Text: DOI arXiv
Galindo, Carlos; Hernando, Fernando; Martín-Cruz, Helena; Ruano, Diego Stabilizer quantum codes defined by trace-depending polynomials. (English) Zbl 1515.81079 Finite Fields Appl. 87, Article ID 102138, 33 p. (2023). MSC: 81P70 94B27 14G50 PDF BibTeX XML Cite \textit{C. Galindo} et al., Finite Fields Appl. 87, Article ID 102138, 33 p. (2023; Zbl 1515.81079) Full Text: DOI arXiv
Goswami, Pinkimani; Singh, Madan Mohan; Biswas, Dimpi XTR algorithm: efficient and compact subgroup trace representation. (English) Zbl 1504.94141 Bin Ahmad, Khairol Amali (ed.) et al., Functional encryption. Cham: Springer. EAI/Springer Innov. Commun. Comput., 37-57 (2021). MSC: 94A60 PDF BibTeX XML Cite \textit{P. Goswami} et al., in: Functional encryption. Cham: Springer. 37--57 (2021; Zbl 1504.94141) Full Text: DOI
Bolaños, Wilmar; Mantilla-Soler, Guillermo The trace form over cyclic number fields. (English) Zbl 1492.11147 Can. J. Math. 73, No. 4, 947-969 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 11R18 11R29 11R32 PDF BibTeX XML Cite \textit{W. Bolaños} and \textit{G. Mantilla-Soler}, Can. J. Math. 73, No. 4, 947--969 (2021; Zbl 1492.11147) Full Text: DOI arXiv
Kumar, Pankaj; Devi, Pinki Minimum distance and idempotent generators of minimal cyclic codes of length \({p_1}^{\alpha_1}{p_2}^{\alpha_2}{p_3}^{\alpha_3}\). (English) Zbl 1487.94169 J. Algebra Comb. Discrete Struct. Appl. 8, No. 3, 167-195 (2021). Reviewer: Manjit Singh (Murthal) MSC: 94B05 94B15 PDF BibTeX XML Cite \textit{P. Kumar} and \textit{P. Devi}, J. Algebra Comb. Discrete Struct. Appl. 8, No. 3, 167--195 (2021; Zbl 1487.94169) Full Text: DOI
Clausen, Dustin; Mathew, Akhil; Morrow, Matthew \(K\)-theory and topological cyclic homology of Henselian pairs. (English) Zbl 1477.19003 J. Am. Math. Soc. 34, No. 2, 411-473 (2021). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 19D55 PDF BibTeX XML Cite \textit{D. Clausen} et al., J. Am. Math. Soc. 34, No. 2, 411--473 (2021; Zbl 1477.19003) Full Text: DOI arXiv
Kala, Vítězslav; Yatsyna, Pavlo Lifting problem for universal quadratic forms. (English) Zbl 1462.11028 Adv. Math. 377, Article ID 107497, 25 p. (2021). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11E25 11R11 11R18 11H06 11H55 PDF BibTeX XML Cite \textit{V. Kala} and \textit{P. Yatsyna}, Adv. Math. 377, Article ID 107497, 25 p. (2021; Zbl 1462.11028) Full Text: DOI arXiv
Anschütz, Johannes; Le Bras, Arthur-César The \(p\)-completed cyclotomic trace in degree 2. (English) Zbl 1454.19005 Ann. \(K\)-Theory 5, No. 3, 539-580 (2020). MSC: 19D55 19F99 14G45 PDF BibTeX XML Cite \textit{J. Anschütz} and \textit{A.-C. Le Bras}, Ann. \(K\)-Theory 5, No. 3, 539--580 (2020; Zbl 1454.19005) Full Text: DOI arXiv
Bayer-Fluckiger, E. Cyclotomic fields are characterized by their trace lattices. (English) Zbl 1466.11081 Math. Notes 107, No. 5, 844-846 (2020). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R18 11E12 PDF BibTeX XML Cite \textit{E. Bayer-Fluckiger}, Math. Notes 107, No. 5, 844--846 (2020; Zbl 1466.11081) Full Text: DOI
Fotue-Tabue, Alexandre; Mouaha, Christophe On the lattice of cyclic codes over finite chain rings. (English) Zbl 1476.94047 Algebra Discrete Math. 27, No. 2, 252-268 (2019). Reviewer: Hiram López (Cleveland) MSC: 94B15 13M05 16P10 PDF BibTeX XML Cite \textit{A. Fotue-Tabue} and \textit{C. Mouaha}, Algebra Discrete Math. 27, No. 2, 252--268 (2019; Zbl 1476.94047) Full Text: Link
Gómez-Molleda, M. A. Gaussian periods in cyclotomic fields and relative traces as generators of intermediate subfields. (English) Zbl 1436.12002 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 1331-1341 (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 12F05 11R18 PDF BibTeX XML Cite \textit{M. A. Gómez-Molleda}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 1331--1341 (2019; Zbl 1436.12002) Full Text: DOI
Perret-Gentil, Corentin Distribution questions for trace functions with values in cyclotomic integers and their reductions. (English) Zbl 1444.11162 Trans. Am. Math. Soc. 371, No. 7, 4585-4629 (2019). MSC: 11L05 11T24 11N64 14F20 60G50 PDF BibTeX XML Cite \textit{C. Perret-Gentil}, Trans. Am. Math. Soc. 371, No. 7, 4585--4629 (2019; Zbl 1444.11162) Full Text: DOI arXiv
Blumberg, Andrew; Mandell, Michael The homotopy groups of the algebraic \(K\)-theory of the sphere spectrum. (English) Zbl 1412.19001 Geom. Topol. 23, No. 1, 101-134 (2019). Reviewer: Daniel Juan Pineda (Michoacan) MSC: 19D10 55Q10 PDF BibTeX XML Cite \textit{A. Blumberg} and \textit{M. Mandell}, Geom. Topol. 23, No. 1, 101--134 (2019; Zbl 1412.19001) Full Text: DOI arXiv
Hu, Jun; Liang, Xinfeng On the structure of cyclotomic nilHecke algebras. (English) Zbl 1442.16019 Pac. J. Math. 296, No. 1, 105-139 (2018). MSC: 16G99 20C08 PDF BibTeX XML Cite \textit{J. Hu} and \textit{X. Liang}, Pac. J. Math. 296, No. 1, 105--139 (2018; Zbl 1442.16019) Full Text: DOI arXiv
Nunes, José Valter Lopes; Interlando, J. Carmelo; Neto, Trajano Pires Da Nóbrega; Lopes, José Othon Dantas New \(p\)-dimensional lattices from cyclic extensions. (English) Zbl 1423.11185 J. Algebra Appl. 16, No. 10, Article ID 1750186, 9 p. (2017). MSC: 11R18 11R20 11H31 11E12 PDF BibTeX XML Cite \textit{J. V. L. Nunes} et al., J. Algebra Appl. 16, No. 10, Article ID 1750186, 9 p. (2017; Zbl 1423.11185) Full Text: DOI
Luiz de Oliveira, Everton; Carmelo Interlando, J.; Pires da Nóbrega Neto, Trajano; Dantas Lopes, José Othon The integral trace form of cyclic extensions of odd prime degree. (English) Zbl 1426.11125 Rocky Mt. J. Math. 47, No. 4, 1075-1088 (2017). MSC: 11R18 11E12 11H31 11H50 11R33 PDF BibTeX XML Cite \textit{E. Luiz de Oliveira} et al., Rocky Mt. J. Math. 47, No. 4, 1075--1088 (2017; Zbl 1426.11125) Full Text: DOI Euclid
Chen, Zhixiong Linear complexity and trace representation of quaternary sequences over \(\mathbb {Z}_{4}\) based on generalized cyclotomic classes modulo \( pq\). (English) Zbl 1409.94851 Cryptogr. Commun. 9, No. 4, 445-458 (2017). MSC: 94A55 94A60 65T50 PDF BibTeX XML Cite \textit{Z. Chen}, Cryptogr. Commun. 9, No. 4, 445--458 (2017; Zbl 1409.94851) Full Text: DOI arXiv
Lück, Wolfgang; Reich, Holger; Rognes, John; Varisco, Marco Algebraic K-theory of group rings and the cyclotomic trace map. (English) Zbl 1357.19002 Adv. Math. 304, 930-1020 (2017). Reviewer: Jérôme Scherer (Lausanne) MSC: 19D55 19D50 19B28 55P91 55P42 PDF BibTeX XML Cite \textit{W. Lück} et al., Adv. Math. 304, 930--1020 (2017; Zbl 1357.19002) Full Text: DOI arXiv
Liao, Qunying; Li, Xuelian Complexity of the dual bases for Gauss normal bases of type \((n,k)\) \((k\geq 3)\) over finite fields. (English) Zbl 1363.11103 J. Sichuan Univ., Nat. Sci. Ed. 53, No. 2, 235-246 (2016). MSC: 11T30 12E20 11Y16 12Y05 PDF BibTeX XML Cite \textit{Q. Liao} and \textit{X. Li}, J. Sichuan Univ., Nat. Sci. Ed. 53, No. 2, 235--246 (2016; Zbl 1363.11103) Full Text: DOI
Angeltveit, Vigleik On the \(K\)-theory of truncated polynomial rings in non-commuting variables. (English) Zbl 1329.19003 Bull. Lond. Math. Soc. 47, No. 5, 731-742 (2015). Reviewer: Stratos Prassidis (Karlovassi) MSC: 19D50 55N91 PDF BibTeX XML Cite \textit{V. Angeltveit}, Bull. Lond. Math. Soc. 47, No. 5, 731--742 (2015; Zbl 1329.19003) Full Text: DOI arXiv
Carmelo Interlando, J.; da Nóbrega Neto, Trajano Pires; Rodrigues, Tatiana Miguel; Dantas Lopes, José Othon A note on the integral trace form in cyclotomic fields. (English) Zbl 1370.11122 J. Algebra Appl. 14, No. 4, Article ID 1550045, 9 p. (2015). MSC: 11R18 11E12 11H50 PDF BibTeX XML Cite \textit{J. Carmelo Interlando} et al., J. Algebra Appl. 14, No. 4, Article ID 1550045, 9 p. (2015; Zbl 1370.11122) Full Text: DOI
Cortiñas, Guillermo; Haesemeyer, Christian; Walker, Mark E.; Weibel, Charles Toric varieties, monoid schemes and cdh descent. (English) Zbl 1331.14050 J. Reine Angew. Math. 698, 1-54 (2015). Reviewer: Marcus Zibrowius (München) MSC: 14M25 14C35 14A20 PDF BibTeX XML Cite \textit{G. Cortiñas} et al., J. Reine Angew. Math. 698, 1--54 (2015; Zbl 1331.14050) Full Text: DOI arXiv
Blumberg, Andrew J.; Gepner, David; Tabuada, Gonçalo Uniqueness of the multiplicative cyclotomic trace. (English) Zbl 1297.19002 Adv. Math. 260, 191-232 (2014). Reviewer: Daniel Juan Pineda (Michoacan) MSC: 19D10 19D25 19D55 18D20 55N15 PDF BibTeX XML Cite \textit{A. J. Blumberg} et al., Adv. Math. 260, 191--232 (2014; Zbl 1297.19002) Full Text: DOI arXiv
Otake, Shuichi Orthogonal decompositions of integral trace forms of cyclotomic fields and their canonical forms over the ring of \(p\)-adic integers. (English) Zbl 1316.11025 J. Number Theory 134, 258-279 (2014). Reviewer: Martin Epkenhans (Münster) MSC: 11E08 11E12 15A21 PDF BibTeX XML Cite \textit{S. Otake}, J. Number Theory 134, 258--279 (2014; Zbl 1316.11025) Full Text: DOI
Du, Xiaoni; Chen, Zhixiong A generalization of the Hall’s sextic residue sequences. (English) Zbl 1293.11087 Inf. Sci. 222, 784-794 (2013). MSC: 11K45 94A55 PDF BibTeX XML Cite \textit{X. Du} and \textit{Z. Chen}, Inf. Sci. 222, 784--794 (2013; Zbl 1293.11087) Full Text: DOI
Blumberg, Andrew J.; Gepner, David; Tabuada, Gonçalo A universal characterization of higher algebraic \(K\)-theory. (English) Zbl 1267.19001 Geom. Topol. 17, No. 2, 733-838 (2013). MSC: 19D10 18D20 19D25 19D55 55N15 18F25 19E08 PDF BibTeX XML Cite \textit{A. J. Blumberg} et al., Geom. Topol. 17, No. 2, 733--838 (2013; Zbl 1267.19001) Full Text: DOI arXiv
Dundas, Bjørn Ian; Kittang, Harald Øyen Integral excision for \(K\)-theory. (English) Zbl 1269.19002 Homology Homotopy Appl. 15, No. 1, 1-25 (2013). MSC: 19D55 13D15 14A20 55P43 PDF BibTeX XML Cite \textit{B. I. Dundas} and \textit{H. Ø. Kittang}, Homology Homotopy Appl. 15, No. 1, 1--25 (2013; Zbl 1269.19002) Full Text: DOI arXiv
Dundas, Bjørn Ian; Goodwillie, Thomas G.; McCarthy, Randy The local structure of algebraic K-theory. (English) Zbl 1272.55002 Algebra and Applications 18. London: Springer (ISBN 978-1-4471-4392-5/hbk; 978-1-4471-4393-2/ebook). xv, 435 p. (2013). Reviewer: Rainer Vogt (Osnabrück) MSC: 55-02 55N35 19-01 19D10 19D55 55P43 55P65 PDF BibTeX XML Cite \textit{B. I. Dundas} et al., The local structure of algebraic K-theory. London: Springer (2013; Zbl 1272.55002) Full Text: DOI
Angeltveit, Vigleik; Gerhardt, Teena; Hesselholt, Lars On the \(K\)-theory of truncated polynomial algebras over the integers. (English) Zbl 1232.19002 J. Topol. 2, No. 2, 277-294 (2009). Reviewer: Jerry M. Lodder (Las Cruces) MSC: 19D55 55Q91 PDF BibTeX XML Cite \textit{V. Angeltveit} et al., J. Topol. 2, No. 2, 277--294 (2009; Zbl 1232.19002) Full Text: DOI arXiv
Garcia Armas, Mario; Sethuraman, B. A. A note on the Hankel transform of the central binomial coefficients. (English) Zbl 1196.11046 J. Integer Seq. 11, No. 5, Article ID 08.5.8, 9 p. (2008). MSC: 11B83 11R04 15B36 11R18 PDF BibTeX XML Cite \textit{M. Garcia Armas} and \textit{B. A. Sethuraman}, J. Integer Seq. 11, No. 5, Article ID 08.5.8, 9 p. (2008; Zbl 1196.11046) Full Text: EuDML EMIS
Du, Xiaoni; Yan, Tongjiang; Xiao, Guozhen Trace representation of some generalized cyclotomic sequences of length \(pq\). (English) Zbl 1234.94021 Inf. Sci. 178, No. 16, 3307-3316 (2008). MSC: 94A55 11T71 68Q25 PDF BibTeX XML Cite \textit{X. Du} et al., Inf. Sci. 178, No. 16, 3307--3316 (2008; Zbl 1234.94021) Full Text: DOI
Schlichtkrull, Christian Transfer maps and the cyclotomic trace. (English) Zbl 1103.55006 Math. Ann. 336, No. 1, 191-238 (2006). Reviewer: Ayelet Lindenstrauss (Bloomington) MSC: 55P42 55R12 16E40 PDF BibTeX XML Cite \textit{C. Schlichtkrull}, Math. Ann. 336, No. 1, 191--238 (2006; Zbl 1103.55006) Full Text: DOI Link
Johnston, Henri On the trace map between absolutely abelian number fields of equal conductor. (English) Zbl 1101.11047 Acta Arith. 122, No. 1, 63-74 (2006). Reviewer: Charles Parry (Blacksburg) MSC: 11R04 11R33 11R18 11R20 PDF BibTeX XML Cite \textit{H. Johnston}, Acta Arith. 122, No. 1, 63--74 (2006; Zbl 1101.11047) Full Text: DOI arXiv
Betley, Stanislaw; Schlichtkrull, Christian The cyclotomic trace and curves on K-theory. (English) Zbl 1080.19005 Topology 44, No. 4, 845-874 (2005). Reviewer: Bjørn Dundas (Bergen) MSC: 19D55 13D03 55P42 PDF BibTeX XML Cite \textit{S. Betley} and \textit{C. Schlichtkrull}, Topology 44, No. 4, 845--874 (2005; Zbl 1080.19005) Full Text: DOI
Dundas, Bjørn Ian The cyclotomic trace for \(S\)-algebras. (English) Zbl 1069.19005 J. Lond. Math. Soc., II. Ser. 70, No. 3, 659-677 (2004). Reviewer: Rick Jardine (London /Ontario) MSC: 19D55 19D23 55P42 18D20 PDF BibTeX XML Cite \textit{B. I. Dundas}, J. Lond. Math. Soc., II. Ser. 70, No. 3, 659--677 (2004; Zbl 1069.19005) Full Text: DOI
Østvær, Paul Arne On \(A(X)\to TC(X)\) for some \(X\). (English) Zbl 1062.14016 \(K\)-Theory 31, No. 4, 345-355 (2004). MSC: 14C35 19D10 19D55 14F20 19F27 PDF BibTeX XML Cite \textit{P. A. Østvær}, \(K\)-Theory 31, No. 4, 345--355 (2004; Zbl 1062.14016) Full Text: DOI
Stein, Greg An alternate construction of the Berlekamp subalgebra. (English) Zbl 1017.11063 Mullen, Gary L. (ed.) et al., Finite fields with applications to coding theory, cryptography and related areas. Proceedings of the 6th international conference on finite fields and applications, Oaxaca, México, May 21-25, 2001. Berlin: Springer. 299-305 (2002). Reviewer: Gary L.Ebert (Newark) MSC: 11T22 11T06 11Y16 11C08 PDF BibTeX XML Cite \textit{G. Stein}, in: Finite fields with applications to coding theory, cryptography and related areas. Proceedings of the 6th international conference on finite fields and applications, Oaxaca, México, May 21--25, 2001. Berlin: Springer. 299--305 (2002; Zbl 1017.11063)
Rognes, John Two-primary algebraic \(K\)-theory of pointed spaces. (English) Zbl 1009.19001 Topology 41, No. 5, 873-926 (2002). Reviewer: Bjørn Dundas (Trondheim) MSC: 19D10 55N10 19D55 55Q10 55S10 55T15 57Q60 57R50 PDF BibTeX XML Cite \textit{J. Rognes}, Topology 41, No. 5, 873--926 (2002; Zbl 1009.19001) Full Text: DOI
Hesselholt, Lars Algebraic \(K\)-theory and trace invariants. (English) Zbl 1011.19002 Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20-28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press. 415-425 (2002). Reviewer: Manfred Kolster (Hamilton / Ontario) MSC: 19D45 19D50 19D55 11S70 14F30 55P91 PDF BibTeX XML Cite \textit{L. Hesselholt}, in: Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20--28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor. 415--425 (2002; Zbl 1011.19002) Full Text: arXiv
Osterburg, J. M.; Passman, D. S. Trace methods in twisted group algebras. II. (English) Zbl 1004.16020 Proc. Am. Math. Soc. 130, No. 12, 3495-3506 (2002). Reviewer: S.V.Mihovski (Plovdiv) MSC: 16S35 20C07 PDF BibTeX XML Cite \textit{J. M. Osterburg} and \textit{D. S. Passman}, Proc. Am. Math. Soc. 130, No. 12, 3495--3506 (2002; Zbl 1004.16020) Full Text: DOI
Mazur, Marcin Remarks on normal bases. (English) Zbl 0964.11050 Colloq. Math. 87, No. 1, 79-84 (2001). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R33 PDF BibTeX XML Cite \textit{M. Mazur}, Colloq. Math. 87, No. 1, 79--84 (2001; Zbl 0964.11050) Full Text: DOI arXiv
Tsalidis, Stavros On the étale descent problem for topological cyclic homology and algebraic \(K\)-theory. (English) Zbl 0980.19002 \(K\)-Theory 21, No. 2, 151-199 (2000). Reviewer: Ayelet Lindenstrauss (Bloomington) MSC: 19D55 11S70 14F20 55P91 PDF BibTeX XML Cite \textit{S. Tsalidis}, \(K\)-Theory 21, No. 2, 151--199 (2000; Zbl 0980.19002) Full Text: DOI
Malle, Gunter On the generic degrees of cyclotomic algebras. (English) Zbl 0984.20005 Represent. Theory 4, 342-369 (2000). Reviewer: Richard M.Green (Lancaster) MSC: 20C08 20C40 20F55 PDF BibTeX XML Cite \textit{G. Malle}, Represent. Theory 4, 342--369 (2000; Zbl 0984.20005)
Geisser, Thomas; Hesselholt, Lars Topological cyclic homology of schemes. (English) Zbl 0953.19001 Raskind, Wayne (ed.) et al., Algebraic \(K\)-theory. Proceedings of an AMS-IMS-SIAM summer research conference, Seattle, WA, USA, July 13-24, 1997. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 67, 41-87 (1999). Reviewer: Bjørn Dundas (Trondheim) MSC: 19D55 14C35 19E08 PDF BibTeX XML Cite \textit{T. Geisser} and \textit{L. Hesselholt}, Proc. Symp. Pure Math. 67, 41--87 (1999; Zbl 0953.19001)
Kuz’min, L. V. A new proof of some duality theorem on the \(\ell\)-adic logarithms of local units. (English) Zbl 0937.11050 J. Math. Sci., New York 95, No. 1, 1996-2005 (1999). Reviewer: Florence Soriano (Metz) MSC: 11R18 11S99 11R23 PDF BibTeX XML Cite \textit{L. V. Kuz'min}, J. Math. Sci., New York 95, No. 1, 1996--2005 (1999; Zbl 0937.11050) Full Text: DOI
Rognes, John Algebraic \(K\)-theory of the two-adic integers. (English) Zbl 0929.19004 J. Pure Appl. Algebra 134, No. 3, 287-326 (1999). Reviewer: Bjørn Dundas (Trondheim) MSC: 19D55 11S70 19D50 55P42 55Q35 55Q50 12G05 19F99 PDF BibTeX XML Cite \textit{J. Rognes}, J. Pure Appl. Algebra 134, No. 3, 287--326 (1999; Zbl 0929.19004) Full Text: DOI
Perrin-Riou, Bernadette Systèmes d’Euler \(p\)-adiques et théorie d’Iwasawa. (\(p\)-adic Euler systems and Iwasawa theory.). (French) Zbl 0930.11078 Ann. Inst. Fourier 48, No. 5, 1231-1307 (1998). Reviewer: T.Nguyen Quang Do (Besançon) MSC: 11R23 12G05 11G40 11R42 PDF BibTeX XML Cite \textit{B. Perrin-Riou}, Ann. Inst. Fourier 48, No. 5, 1231--1307 (1998; Zbl 0930.11078) Full Text: DOI Numdam EuDML
Hesselholt, Lars; Madsen, Ib On the \(K\)-theory of finite algebras over Witt vectors of perfect fields. (English) Zbl 0866.55002 Topology 36, No. 1, 29-101 (1997). Reviewer: B.Dundas (Oslo) MSC: 55N15 19D50 19D55 PDF BibTeX XML Cite \textit{L. Hesselholt} and \textit{I. Madsen}, Topology 36, No. 1, 29--101 (1997; Zbl 0866.55002) Full Text: DOI
Gozard, Ivan Galois theory. (Théorie des Galois.) (French) Zbl 0893.12001 Mathématiques pour le 2e cycle. Paris: Ellipses. viii, 215 p. (1997). Reviewer: Toma L.Albu (Bucuresti) MSC: 12-01 12F10 12F05 12E05 12F20 12E20 11R32 PDF BibTeX XML Cite \textit{I. Gozard}, Théorie des Galois. Paris: Ellipses (1997; Zbl 0893.12001)
Drees, Christof; Epkenhans, Martin; Krüskemper, Martin On the computation of the trace form of some Galois extensions. (English) Zbl 0873.11027 J. Algebra 192, No. 1, 209-234 (1997). Reviewer: Tara L.Smith (Cincinnati) MSC: 11E12 11R32 PDF BibTeX XML Cite \textit{C. Drees} et al., J. Algebra 192, No. 1, 209--234 (1997; Zbl 0873.11027) Full Text: DOI
Bökstedt, M.; Carlsson, G.; Cohen, R.; Goodwillie, T.; Hsiang, W. C.; Madsen, I. On the algebraic \(K\)-theory of simply connected spaces. (English) Zbl 0867.19003 Duke Math. J. 84, No. 3, 541-563 (1996). Reviewer: A.Cap (Wien) MSC: 19D10 55P42 55P65 57R52 55N15 PDF BibTeX XML Cite \textit{M. Bökstedt} et al., Duke Math. J. 84, No. 3, 541--563 (1996; Zbl 0867.19003) Full Text: DOI
Cerchiai, B. L.; Martellini, M.; Valz-Gris, F. Three-dimensional integrable models and associated tangle invariants. (English) Zbl 1080.82528 J. Stat. Phys. 78, No. 3-4, 1083-1109 (1995). MSC: 82B23 20F36 57M25 PDF BibTeX XML Cite \textit{B. L. Cerchiai} et al., J. Stat. Phys. 78, No. 3--4, 1083--1109 (1995; Zbl 1080.82528) Full Text: DOI arXiv
Bökstedt, M.; Madsen, I. Algebraic \(K\)-theory of local number fields: the unramified case. (English) Zbl 0924.19001 Quinn, Frank (ed.), Prospects in topology. Proceedings of a conference in honor of William Browder, Princeton, NJ, USA, March 1994. Princeton, NJ: Princeton University Press. Ann. Math. Stud. 138, 28-57 (1995). MSC: 19D50 11S70 19D10 55P60 PDF BibTeX XML Cite \textit{M. Bökstedt} and \textit{I. Madsen}, Ann. Math. Stud. 138, 28--57 (1995; Zbl 0924.19001)
Madsen, Ib Calculations in \(K\)-theory via traces. (Preliminary partial version). (English) Zbl 0876.55004 Bott, Raoul (ed.) et al., Current developments in mathematics, 1995. Lectures of a seminar, held in Boston, MA, USA, May 7-8, 1995. Cambridge, MA: International Press. 135-189 (191-321 preliminary version 1994) (1995). Reviewer: I.D.Albu (Timişoara) MSC: 55N15 19D55 PDF BibTeX XML Cite \textit{I. Madsen}, in: Current developments in mathematics, 1995. Lectures of a seminar, held in Boston, MA, USA, May 7-8, 1995. Cambridge, MA: International Press. 135--189 (191--321, preliminary version 1994) (1995; Zbl 0876.55004)
Madsen, Ib The cyclotomic trace in algebraic \(K\)-theory. (English) Zbl 0866.55009 Joseph, A. (ed.) et al., First European congress of mathematics (ECM), Paris, France, July 6-10, 1992. Volume II: Invited lectures (Part 2). Basel: Birkhäuser. Prog. Math. 120, 213-241 (1994). Reviewer: R.Vogt (Osnabrück) MSC: 55P42 19D10 PDF BibTeX XML Cite \textit{I. Madsen}, Prog. Math. 120, 213--241 (1994; Zbl 0866.55009)
Rognes, John Characterizing connected \(K\)-theory by homotopy groups. (English) Zbl 0783.55006 Math. Proc. Camb. Philos. Soc. 114, No. 1, 99-102 (1993). Reviewer: V.P.Snaith (Hamilton / Ontario) MSC: 55N15 55N35 PDF BibTeX XML Cite \textit{J. Rognes}, Math. Proc. Camb. Philos. Soc. 114, No. 1, 99--102 (1993; Zbl 0783.55006) Full Text: DOI
Bachoc, Christine; Batut, Christian Etude algorithmique de réseaux construits avec la forme trace. (Algorithmic study of lattices constructed by means of the trace form). (French) Zbl 0787.11024 Exp. Math. 1, No. 3, 183-190 (1992). Reviewer: E.L.Cohen (Ottawa) MSC: 11H31 11R18 11Y99 PDF BibTeX XML Cite \textit{C. Bachoc} and \textit{C. Batut}, Exp. Math. 1, No. 3, 183--190 (1992; Zbl 0787.11024) Full Text: DOI EuDML EMIS
Epkenhans, Martin Trace forms of normal extensions of algebraic number fields. (English) Zbl 0688.10019 Linear Multilinear Algebra 25, No. 4, 309-320 (1989). Reviewer: W.Wiesław MSC: 11E12 11E16 11R18 PDF BibTeX XML Cite \textit{M. Epkenhans}, Linear Multilinear Algebra 25, No. 4, 309--320 (1989; Zbl 0688.10019) Full Text: DOI
Erez, B. The Galois structure of the trace form in extensions of odd prime degree. (English) Zbl 0663.12015 J. Algebra 118, No. 2, 438-446 (1988). Reviewer: T.Soundararajan MSC: 11R33 11R18 16S34 PDF BibTeX XML Cite \textit{B. Erez}, J. Algebra 118, No. 2, 438--446 (1988; Zbl 0663.12015) Full Text: DOI
McEliece, Robert J. Finite fields for computer scientists and engineers. (English) Zbl 0662.94014 The Kluwer International Series in Engineering and Computer Science. Information Theory, 23. Boston-Dordrecht-Lancaster: Kluwer Academic Publishers. X, 207 p.; Dfl. 105.00; $ 39.95; £29.95 (1987). Reviewer: I.F.Blake MSC: 94B05 11T06 11T99 94-01 12-01 PDF BibTeX XML
Conner, P. E.; Perlis, R. A survey of trace forms of algebraic number fields. (English) Zbl 0551.10017 Series in Pure Mathematics, 2. Singapore: World Scientific. Distr. by John Wiley & Sons Ltd., Chichester. IX, 316 p. hbk: £33.00; $ 39.70; pbk: £17.65 (1984). Reviewer: C.U.Jensen MSC: 11E12 11E08 12-02 11-02 11E16 11R99 11S15 PDF BibTeX XML
Janusz, Gerald J. Orthogonal groups of some trace forms. (English) Zbl 0527.20041 J. Pure Appl. Algebra 29, 297-312 (1983). MSC: 20H20 11R18 20C99 PDF BibTeX XML Cite \textit{G. J. Janusz}, J. Pure Appl. Algebra 29, 297--312 (1983; Zbl 0527.20041) Full Text: DOI
Moreno, Oscar On primitive elements of trace equal to 1 in GF(\(2^ m)\). (English) Zbl 0485.12015 Discrete Math. 41, 53-56 (1982). MSC: 11T55 11T22 PDF BibTeX XML Cite \textit{O. Moreno}, Discrete Math. 41, 53--56 (1982; Zbl 0485.12015) Full Text: DOI