Расшерения абелевых -групп с помощью с неприводимым действием
В.П. Буриченко (2000)
Algebra i Logika
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В.П. Буриченко (2000)
Algebra i Logika
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С.Г. Колесников, S. G. Kolesnikov, S. G. Kolesnikov, S. G. Kolesnikov (1998)
Algebra i Logika
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Ч.К. Гупта, Н.С. Романовский, Č. K. Gupta, N. S. Romanovskij, Č. K. Gupta, N. S. Romanovskij, Č. K. Gupta, N. S. Romanovskij (1996)
Algebra i Logika
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A.P. Чехлов (2001)
Algebra i Logika
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А.В. Заварницин, A.V. Zavarnicin, A.V. Zavarnicin, A.V. Zavarnitsyn (2000)
Algebra i Logika
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С.А. Гурченков (1984)
Algebra i Logika
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Marco Marchi (2014)
Annales de l’institut Fourier
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In this Note, we define a class of stratified Lie groups of arbitrary step (that are called “groups of type ” throughout the paper), and we prove that, in these groups, sets with constant intrinsic normal are vertical halfspaces. As a consequence, the reduced boundary of a set of finite intrinsic perimeter in a group of type is rectifiable in the intrinsic sense (De Giorgi’s rectifiability theorem). This result extends the previous one proved by Franchi, Serapioni & Serra Cassano...
В.Д. Мазуров, М.Ч. Су, Ч.П. Чао (2000)
Algebra i Logika
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Weidong Gao, Yuanlin Li, Pingping Zhao, Jujuan Zhuang (2016)
Colloquium Mathematicae
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Let G be an additive finite abelian group. For every positive integer ℓ, let be the smallest positive integer t such that each sequence S over G of length |S| ≥ t has a nonempty zero-sum subsequence of length not equal to ℓ. In this paper, we determine for certain finite groups, including cyclic groups, the groups and elementary abelian 2-groups. Following Girard, we define disc(G) as the smallest positive integer t such that every sequence S over G with |S| ≥ t has nonempty zero-sum...
А.В. Васильев, A. V. Vasil'ev, A. V. Vasil'ev, A. V. Vasil'ev (1997)
Algebra i Logika
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Daniel Smertnig (2010)
Colloquium Mathematicae
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For a finite abelian group G and a splitting field K of G, let (G,K) denote the largest integer l ∈ ℕ for which there is a sequence over G such that for all . If (G) denotes the Davenport constant of G, then there is the straightforward inequality (G) - 1 ≤ (G,K). Equality holds for a variety of groups, and a conjecture of W. Gao et al. states that equality holds for all groups. We offer further groups for which equality holds, but we also give the first examples of groups G for...
А.С. Кондратьев (1988)
Algebra i Logika
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М.Г. Амаглобели, В.Н. Ремесленников (2000)
Algebra i Logika
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S. V. Jablan (1990)
Matematički Vesnik
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Michael Larsen, Alexander Lubotzky, Claude Marion (2014)
Journal of the European Mathematical Society
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Let with and let be the corresponding hyperbolic triangle group. Many papers have been dedicated to the following question: what are the finite (simple) groups which appear as quotients of ? (Classically, for and more recently also for general .) These papers have used either explicit constructive methods or probabilistic ones. The goal of this paper is to present a new approach based on the theory of representation varieties (via deformation theory). As a corollary we essentially...
Robert Guralnick, Pham Tiep (2012)
Journal of the European Mathematical Society
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The notion of age of elements of complex linear groups was introduced by M. Reid and is of importance in algebraic geometry, in particular in the study of crepant resolutions and of quotients of Calabi–Yau varieties. In this paper, we solve a problem raised by J. Kollár and M. Larsen on the structure of finite irreducible linear groups generated by elements of age . More generally, we bound the dimension of finite irreducible linear groups generated by elements of bounded deviation....