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Enumeration of nilpotent loops up to isotopy

Lucien Clavier (2012)

Commentationes Mathematicae Universitatis Carolinae

We modify tools introduced in [Daly D., Vojtěchovský P., Enumeration of nilpotent loops via cohomology, J. Algebra 322 (2009), no. 11, 4080–4098] to count, for any odd prime $q$ , the number of nilpotent loops of order $2 q$ up to isotopy, instead of isomorphy.

Equivariant Cohomology and Stable Cohomotopy.

Czes Kosniowski (1974)

Mathematische Annalen

Equivariant Homology and Mackey Functors.

Tammo tom Dieck (1973)

Mathematische Annalen

Erratum: Multiplicative stability for the cohomology of finite Chevalley groups. Math. Helvetici 63 (1988), 108-113.

Eric M. Friedlander (1989)

Commentarii mathematici Helvetici

Euler Characteristic and Characters of Discrete Groups.

Hyman Bass (1976)

Inventiones mathematicae

Euler Characteristics of Discrete Groups and G-Spaces.

Kenneth S. Brown (1974)

Inventiones mathematicae

Exactitude à gauche du foncteur $H_{b}^{n} (-, 𝐑)$ de cohomologie bornée réelle

Abdesselam Bouarich (2001)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Existence of Gorenstein projective resolutions and Tate cohomology

Peter Jørgensen (2007)

Journal of the European Mathematical Society

Existence of proper Gorenstein projective resolutions and Tate cohomology is proved over rings with a dualizing complex. The proofs are based on Bousfield Localization which is originally a method from algebraic topology.

Exponents of modules and maps.

John F. Carlson (1989)

Inventiones mathematicae

Extensions algébriques et formes quadratiques

Bruno KAHN (1982/1983)

Seminaire de Théorie des Nombres de Bordeaux

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