Quasirecognition of a class of finite simple groups by the set of element orders.
Alekseeva, O. A., Kondrat'ev, A. S. (2003)
Sibirskij Matematicheskij Zhurnal
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Alekseeva, O. A., Kondrat'ev, A. S. (2003)
Sibirskij Matematicheskij Zhurnal
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Kirejtov, V.R. (2001)
Sibirskij Matematicheskij Zhurnal
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Konovalov, A.N. (2002)
Sibirskij Matematicheskij Zhurnal
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Akhmetov, D.R. (2000)
Siberian Mathematical Journal
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Angelo Favini, Rabah Labbas, Keddour Lemrabet, Stéphane Maingot (2005)
Revista Matemática Complutense
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Kuznetsov, V.V. (2000)
Sibirskij Matematicheskij Zhurnal
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Marcin Mazur, Stephen V. Ullom (2008)
Journal de Théorie des Nombres de Bordeaux
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We investigate as Galois module the unit group of biquadratic extensions of number fields. The -rank of the first cohomology group of units of is computed for general . For imaginary quadratic we determine a large portion of the cases (including all unramified ) where the index takes its maximum value , where are units mod torsion of and are units mod torsion of one of the 3 quadratic subfields of .
Zelenyak, T.I., Lyul'ko, N.A. (2000)
Siberian Mathematical Journal
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Kenji Okuda, Syouji Yano (2010)
Journal de Théorie des Nombres de Bordeaux
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Let be an algebraic number field and the ring of integers of . In this paper, we prove an analogue of Voronoï’s theorem for -lattices and the finiteness of the number of similar isometry classes of perfect -lattices.