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Your search keyword '"Viruel, Antonio"' showing total 3 results
Start Over Author "Viruel, Antonio" Topic cohomology theory
3 results on '"Viruel, Antonio"'

1. A COHOMOLOGICAL CHARACTERIZATION OF NILPOTENT FUSION SYSTEMS.

Author

DÍAZ RAMOS, ANTONIO, VIRUEL, ANTONIO, and ESPINOSA BARO, ARTURO

Subjects
*NILPOTENT groups, *COHOMOLOGY theory, *FINITE groups, *HOMOMORPHISMS, *PROPOSITION (Logic)
Abstract

We provide a nilpotency criterion for fusion systems in terms of the vanishing of its cohomology with twisted coefficients. [ABSTRACT FROM AUTHOR]

Published
2018
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2. COHOMOLOGICAL UNIQUENESS, MASSEY PRODUCTS AND THE MODULAR ISOMORPHISM PROBLEM FOR 2-GROUPS OF MAXIMAL NILPOTENCY CLASS.

Author

RUIZ, ALBERT and VIRUEL, ANTONIO

Subjects
*COHOMOLOGY theory, *UNIQUENESS (Mathematics), *MASSEY products, *MODULAR groups, *ISOMORPHISM (Mathematics), *NILPOTENT groups, *SET theory, *TOPOLOGICAL spaces
Abstract

Let G be a finite 2-group of maximal nilpotency class, and let BG be its classifying space. We prove that iteratedMassey products in H*(BG; F2) do characterize the homotopy type of BG among 2-complete spaces with the same cohomological structure. As a consequence we get an alternative proof of the modular isomorphism problem for 2-groups of maximal nilpotency class. [ABSTRACT FROM AUTHOR]

Published
2013
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3. Cohomological uniqueness of some p-groups.

Author

Díaz, Antonio, Ruiz, Albert, and Viruel, Antonio

Subjects
UNIQUENESS (Mathematics), GROUP theory, COHOMOLOGY theory, MATHEMATICAL proofs, MATHEMATICAL sequences, HOMOTOPY theory, FINITE groups
Abstract

We consider classifying spaces of a family of p-groups and prove that mod p cohomology enriched with Bockstein spectral sequences determines their homotopy type among p-completed CW-complexes. [ABSTRACT FROM AUTHOR]

Published
2013
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