Results 21 to 30 of about 455,811 (328)
Finite Weyl groupoids of rank three [PDF]
We continue our study of Cartan schemes and their Weyl groupoids. The results in this paper provide an algorithm to determine connected simply connected Cartan schemes of rank three, where the real roots form a finite irreducible root system. The algorithm terminates: Up to equivalence there are exactly 55 such Cartan schemes, and the number of ...
Cuntz, M., Heckenberger, I.
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Degenerations of toric varieties over valuation rings [PDF]
We develop a theory of multi-stage degenerations of toric varieties over finite rank valuation rings, extending the Mumford--Gubler theory in rank one.
Foster, Tyler, Ranganathan, Dhruv
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Lie rank in groups of finite Morley rank with solvable local subgroups [PDF]
We prove a general dichotomy theorem for groups of finite Morley rank with solvable local subgroups and of Pr\"ufer p-rank at least 2, leading either to some p-strong embedding, or to the Pr\"ufer p-rank being exactly ...
Deloro, Adrien, Jaligot, Eric
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The theorems of Schur and Baer: a survey [PDF]
This paper gives a short survey of some of the known results generalizing the theorem, credited to I. Schur, that if the central factor group is finite then the derived subgroup is also finite.
Martyn Dixon +2 more
doaj
Unconditional ideals of finite rank operators [PDF]
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Abrahamsen, Trond A. +2 more
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Locally (Soluble-by-Finite) Groups of Finite Rank
The authors prove the following result: A locally (soluble-by-finite) group with all locally soluble subgroups of finite rank is (locally soluble)-by-finite and of finite rank. After they have shown that the group is of finite rank the result follows from a theorem of N. S. Chernikov.
Dixon, Martyn R. +2 more
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Valuated Butler groups of finite rank [PDF]
AbstractValuated Butler groups of finite rank are investigated. The valuated B2-groups are both epic images and pure subgroups of completely decomposable valuated groups of finite rank (Theorem 3.1). However, there are fundamental changes in the theory of Butler groups when valuations are involved. We introduce valuated B1-groups and show that they are
Fuchs, L., Rangaswamy, K. M.
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Groups Factorized by Pairwise Permutable Abelian Subgroups of Finite Rank [PDF]
It is proved that a group which is the product of pairwise permutable abelian subgroups of finite Prüfer rank is hyperabelian with finite Prüfer rank; in the periodic case the Sylow subgroups of such a product are described.
Bernhard Amberg, Yaroslav P. Sysak
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Separable and Low-Rank Continuous Games [PDF]
In this paper, we study nonzero-sum separable games, which are continuous games whose payoffs take a sum-of-products form. Included in this subclass are all finite games and polynomial games. We investigate the structure of equilibria in separable games.
Asuman Ozdaglar +17 more
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Finite Homomorphic Images of Groups of Finite Rank
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Azarov, D. N., Romanovskii, N. S.
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