Modular elements in congruence lattices of -sets.

Vernikov, Boris M.

Displaying similar documents to “Modular elements in congruence lattices of $G$ -sets.”

The modular degree and the congruence number of a weight 2 cusp form

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On Goldie absolute direct summands in modular lattices

Rupal Shroff (2023)

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Absolute direct summand in lattices is defined and some of its properties in modular lattices are studied. It is shown that in a certain class of modular lattices, the direct sum of two elements has absolute direct summand if and only if the elements are relatively injective. As a generalization of absolute direct summand (ADS for short), the concept of Goldie absolute direct summand in lattices is introduced and studied. It is shown that Goldie ADS property is inherited by direct summands....

Continuous modular lattices of breadth two.

J.W. Lea (1980)

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Modular Substructures in Pseudomodular Lattices.

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S. Đ. Milić (1965)

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Modular embeddings and rigidity for Fuchsian groups

Robert A. Kucharczyk (2015)

Acta Arithmetica

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We prove a rigidity theorem for semiarithmetic Fuchsian groups: If Γ₁, Γ₂ are two semiarithmetic lattices in PSL(2,ℝ ) virtually admitting modular embeddings, and f: Γ₁ → Γ₂ is a group isomorphism that respects the notion of congruence subgroups, then f is induced by an inner automorphism of PGL(2,ℝ ).