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Your search keyword '"Viruel, Antonio"' showing total 3 results
Start Over Author "Viruel, Antonio" Topic nilpotent groups
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. On Thompson's p-complement theorems for saturated fusion systems.

Author

González-Sánchez, Jon, Ruiz, Albert, and Viruel, Antonio

Subjects
AUTOMORPHISMS, COMPLEMENTARITY constraints (Mathematics), MATHEMATICAL proofs, NILPOTENT groups
Abstract

In this short note we prove that a saturated fusion system admitting some special type of automorphism is nilpotent. This generalizes classical results by J. G. Thompson. [ABSTRACT FROM AUTHOR]

Published
2015
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3. 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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