Varieties of generalized Lie groups

Su-Shing Chen; Richard W. Yoh

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Lie groups in varieties of topological groups

Sidney A. Morris (1974)

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On porcupine varieties in Lie algebras.

Karl Heinrich Hofmann, W.A.F. Ruppert (1994)

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Varieties and finite closure conditions

John T. Baldwin, Joel Berman (1976)

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Bihomogeneous forms in many variables

Damaris Schindler (2014)

Journal de Théorie des Nombres de Bordeaux

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We count integer points on varieties given by bihomogeneous equations using the Hardy-Littlewood method. The main novelty lies in using the structure of bihomogeneous equations to obtain asymptotics in generically fewer variables than would be necessary in using the standard approach for homogeneous varieties. Also, we consider counting functions where not all the variables have to lie in intervals of the same size, which arises as a natural question in the setting of bihomogeneous varieties. ...

On Certain Varieties of Groups.

I.D. MacDonald (1961)

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On Certain Varieties of Groups. II.

I.D. MacDonald (1962)

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On Join Varieties of Groups.

Roger M. Bryant (1971)

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On the Boffa alternative

B. Bajorska, O. Macedońska (2001)

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Let G* denote a nonprincipal ultrapower of a group G. In 1986 M.~Boffa posed a question equivalent to the following one: if G does not satisfy a positive law, does G* contain a free nonabelian subsemigroup? We give the affirmative answer to this question in the large class of groups containing all residually finite and all soluble groups, in fact, all groups considered in traditional textbooks on group theory.