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Decompositions of Hyperbolic Kac-Moody Algebras with Respect to Imaginary Root Groups. [PDF]
Feingold AJ, Kleinschmidt A, Nicolai H.
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CFT Correlators and Mapping Class Group Averages. [PDF]
Romaidis I, Runkel I.
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The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics. [PDF]
Gu Y, Wang J.
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NILPOTENCY IN UNCOUNTABLE GROUPS
Journal of the Australian Mathematical Society, 2016The main purpose of this paper is to investigate the behaviour of uncountable groups of cardinality $\aleph$ in which all proper subgroups of cardinality $\aleph$ are nilpotent. It is proved that such a group $G$ is nilpotent, provided that $G$ has no infinite simple homomorphic images and either $\aleph$ has cofinality strictly larger than $\aleph _{0}
De Giovanni, Francesco, Trombetti, Marco
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Automorphism Groups of Nilpotent Groups
Bulletin of the London Mathematical Society, 1989Let \({\mathfrak X}\) denote the class of all finitely generated torsion-free nilpotent groups G such that the derived factor group G/G' is torsion- free. For G in \({\mathfrak X}\), let Aut *(G) denote the group of automorphisms of G/G' induced by the automorphism group of G. If G/G' has rank n and we choose a \({\mathbb{Z}}\)-basis for G/G' then Aut *
Bryant, R. M., Papistas, A.
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1994
Abstract With the general theory of the previous chapter in hand, we can begin the structural analysis of groups of finite Morley rank. The general theory occupies Chapters 6 through 9. The present chapter deals with the structure theory for nilpotent groups.
Alexandre Borovik, Ali Nesin
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Abstract With the general theory of the previous chapter in hand, we can begin the structural analysis of groups of finite Morley rank. The general theory occupies Chapters 6 through 9. The present chapter deals with the structure theory for nilpotent groups.
Alexandre Borovik, Ali Nesin
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On constructive nilpotent groups
Siberian Mathematical Journal, 2007Summary: We prove the following: (1) a torsion-free class 2 nilpotent group is constructivizable if and only if it is isomorphic to the extension of some constructive Abelian group included in the center of the group by some constructive torsion-free Abelian group and some recursive system of factors; (2) a constructivizable torsion-free class 2 ...
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Compressibility in Nilpotent Groups
Bulletin of the London Mathematical Society, 1985A group G is compressible if whenever H is a subgroup of finite index in G there exists a copy of G of finite index in H. This paper explores this property in the class of torsion-free finitely generated nilpotent groups, and obtains a local/global theorem. The methods of pro-finite and pro-p completion are used.
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Semivarieties of nilpotent groups
Algebra and Logic, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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