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searching for Group cohomology 19 found (98 total)

BF model (394 words) [view diff] exact match in snippet view article find links to article

discrete gauge theory. One can add additional twist terms allowed by group cohomology theory such as Dijkgraaf–Witten topological gauge theory. There are

Eichler–Shimura isomorphism (418 words) [view diff] exact match in snippet view article find links to article

Fuchsian groups, introduced by Eichler (1957), that is a variation of group cohomology analogous to the image of the cohomology with compact support in the

List of things named after Jean-Pierre Serre (134 words) [view diff] exact match in snippet view article find links to article

sequence Serre–Swan theorem Serre–Tate theorem Serre's theorem in group cohomology Serre's theorem on affineness Serre twist sheaf Serre's vanishing theorem

Cyclic homology (1,544 words) [view diff] exact match in snippet view article find links to article

of mathematics, including de Rham theory, Hochschild (co)homology, group cohomology, and the K-theory. Contributors to the development of the theory include

Class formation (2,674 words) [view diff] exact match in snippet view article find links to article

90 together with the first inequality and some basic properties of group cohomology. The second inequality was first proved for global fields by Weber

Higher-dimensional algebra (1,511 words) [view diff] exact match in snippet view article find links to article

available in group theory, with applications in homotopy theory and in group cohomology. Brown, R.; Higgins, P.J. (1981). "On the algebra of cubes". Journal

Semi-s-cobordism (428 words) [view diff] exact match in snippet view article find links to article

\pi _{1}(M)} and kernel group K are classified up to congruence by group cohomology (see Mac Lane's Homology pp. 124-129), so there are restrictions on

Classification of manifolds (2,289 words) [view diff] case mismatch in snippet view article find links to article

Connectedness Classic algebraic topology Euler characteristic Fundamental group Cohomology ring Geometric topology normal invariants (orientability, characteristic

Xiao-Gang Wen (1,966 words) [view diff] exact match in snippet view article find links to article

(short-range entangled states with symmetry) and its description by group cohomology of the symmetry group (2011). The notion of SPT order generalizes the

Ilijas Farah (448 words) [view diff] exact match in snippet view article find links to article

Farah, Ilijas (March 19, 2014). "Automorphisms of corona algebras, and group cohomology". Transactions of the American Mathematical Society. 366 (7). American

Kummer theory (1,970 words) [view diff] exact match in snippet view article find links to article

first cohomology group H1(G,A) is trivial. Then the exact sequence of group cohomology shows that there is an isomorphism between AG/π(AG) and Hom(G,C). Kummer

N-group (category theory) (2,037 words) [view diff] exact match in snippet view article

doi:10.4310/HHA.2010.v12.n2.a6. S2CID 55449228. Noohi, Behrang (2011). "Group cohomology with coefficients in a crossed module". Journal of the Institute of

Anomaly matching condition (1,052 words) [view diff] exact match in snippet view article find links to article

R. (2014). "Anomalous discrete symmetries in three dimensions and group cohomology". Physical Review Letters. 112 (23): 231602. arXiv:1403.0617. Bibcode:2014PhRvL

Semidirect product (4,534 words) [view diff] exact match in snippet view article find links to article

sequence does not exist. This can be shown by computing the first group cohomology group of Z 2 {\displaystyle \mathbb {Z} _{2}} with coefficients in

Mikhael Gromov (mathematician) (3,749 words) [view diff] exact match in snippet view article

CG86b. Cheeger, Jeff; Gromov, Mikhael (1986). "L2-cohomology and group cohomology". Topology. 25 (2): 189–215. doi:10.1016/0040-9383(86)90039-X. MR 0837621

Weak continuum hypothesis (412 words) [view diff] exact match in snippet view article find links to article

Ilijas, Farah (July 2014), "Automorphisms of corona algebras, and group cohomology", Transactions of the American Mathematical Society, 366 (7): 3611–3630

Groupoid (6,200 words) [view diff] exact match in snippet view article find links to article

homotopy groupoids, having applications in homotopy theory and in group cohomology. Many references. Dicks, Warren; Ventura, Enric (1996), The group fixed

Henri Moscovici (883 words) [view diff] exact match in snippet view article find links to article

conjecture.) Connes, Alain; Gromov, Mikhael; Moscovici, Henri (1993). "Group cohomology with Lipschitz control and higher signatures". Geometric and Functional

Algebraic K-theory (10,382 words) [view diff] exact match in snippet view article find links to article

plus construction. He originally found this idea while studying the group cohomology of G L n ( F q ) {\displaystyle GL_{n}(\mathbb {F} _{q})} and noted