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Galois theory and Lubin-Tate cochains on classifying spaces

Andrew Baker, Birgit Richter (2011)

Open Mathematics

We consider brave new cochain extensions F(BG +,R) → F(EG +,R), where R is either a Lubin-Tate spectrum E n or the related 2-periodic Morava K-theory K n, and G is a finite group. When R is an Eilenberg-Mac Lane spectrum, in some good cases such an extension is a G-Galois extension in the sense of John Rognes, but not always faithful. We prove that for E n and K n these extensions are always faithful in the K n local category. However, for a cyclic p-group $C_{p^{r}}$ , the cochain extension $F (B C_{p^{r} +}, E_{n}) \to F (E C_{p^{r} +}, E_{n})$ is not a Galois...

Generalized classes of groups, C-nilpotent spaces and "The Hurewicz theorem".

Daciberg Lima Goncalves (1983)

Mathematica Scandinavica

Generalized differential forms over an operand and algebraic models of fibrations. (Formes différentielles généralisées sur une opérade et modéles algébriques des fibrations.)

Chataur, David (2002)

Algebraic & Geometric Topology

Generalized Higher Order Cohomology Operations Induced by the Diagonal Mapping.

Wilhelm Singhof (1978)

Mathematische Zeitschrift

Generalized orbifold Euler characteristic of symmetric products and equivariant Morava $K$ -theory.

Tamanoi, Hirotaka (2001)

Algebraic & Geometric Topology

Generalized orbifold Euler characteristics of symmetric orbifolds and covering spaces.

Tamanoi, Hirotaka (2003)

Algebraic & Geometric Topology

Generators of the unoriented bordism ring which are fibered over products of projective spaces RP(2r-1).

Oswald Gschnitzer (1996)

Manuscripta mathematica

Geometric methods for cohomological invariants.

Guillot, Pierre (2007)

Documenta Mathematica

Geometric Modules over the Burnside Ring.

Tammo tom Dieck, Ted Petrie (1978)

Inventiones mathematicae

Germs of quasi-continuous functions

Yuh-Ching Chen (1972)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

G-Invariante Morse-Funktionen.

Karl Heinz Mayer (1989)

Manuscripta mathematica

Graded Brauer groups and $K$ -theory with local coefficients

Peter Donavan, Max Karoubi (1970)

Publications Mathématiques de l'IHÉS

Graph Cohomology, Colored Posets and Homological Algebra in Functor Categories

Jolanta Słomińska (2012)

Bulletin of the Polish Academy of Sciences. Mathematics

The homology theory of colored posets, defined by B. Everitt and P. Turner, is generalized. Two graph categories are defined and Khovanov type graph cohomology are interpreted as Ext* groups in functor categories associated to these categories. The connection, described by J. H. Przytycki, between the Hochschild homology of an algebra and the graph cohomology, defined for the same algebra and a cyclic graph, is explained from the point of view of homological algebra in functor categories.

Group Extensions and Principal Fibrations.

E. Thomas, L.L. Larmore (1972)

Mathematica Scandinavica

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