Brauer's theorem on induced characters. In mathematics, Brauer's theorem, named for Richard Brauer, is a result on the representability of 0 by forms...

Brauer's theorem, named for Richard Brauer, may refer to: Brauer's theorem on forms Brauer's theorem on induced characters (also called the Brauer-Tate...

Brauer's main theorems are three theorems in representation theory of finite groups linking the blocks of a finite group (in characteristic p) with those...

fields are C2; see Ax–Kochen theorem or Brauer's theorem on forms. Artin had also conjectured Hasse's theorem on elliptic curves This disambiguation page...

Brauer's theorem on induced characters, often known as Brauer's induction theorem, and named after Richard Brauer, is a basic result in the branch of...

exceptional set is bounded by 883 and for d = 11 it is bounded by 8053. Brauer's theorem on forms Quasi-algebraic closure James Ax and Simon Kochen, Diophantine...

MR 0581120 Brauer algebra Brauer–Cartan–Hua theorem Brauer–Nesbitt theorem Brauer–Manin obstruction Brauer–Siegel theorem Brauer's theorem on forms...

\mathbb {F} _{p}(t)} are weakly C1, then every field is weakly C1. Brauer's theorem on forms Tsen rank Fried & Jarden (2008) p. 455 Fried & Jarden (2008) p...

(Tsen's theorem). More generally, the Brauer group vanishes for any C1 field. K is an algebraic extension of Q containing all roots of unity. The Brauer group...

groups) Brauer–Suzuki theorem (finite groups) Brauer–Suzuki–Wall theorem (group theory) Brauer's theorem (number theory) Brauer's theorem on induced characters...

theory Birch's theorem about the representability of zero by odd degree forms Brauer's theorem on the representability of zero by forms over certain fields...

an involution. A group of odd order has no involutions, so to carry out Brauer's program it is first necessary to show that non-cyclic finite simple groups...

classification of finite simple groups (popularly called the enormous theorem) is a result of group theory stating that every finite simple group is...

Hasse–Minkowski theorem is not extensible to forms of degree 10n + 5, where n is a non-negative integer. On the other hand, Birch's theorem shows that if...

that block vanishes at g. This is one of many consequences of Brauer's second main theorem. The defect group of a block also has several characterizations...

subgroups of fixed order that a given finite group contains. The Sylow theorems form a fundamental part of finite group theory and have very important applications...

In mathematics, Wedderburn's little theorem states that every finite division ring is a field; thus, every finite domain is a field. In other words, for...

contributions to abstract algebra. She also proved Noether's first and second theorems, which are fundamental in mathematical physics. Noether was described by...

modularity theorem. The problem specifically proposed that the L-functions of elliptic curves could be identified with those of certain modular forms, a connection...

Artin–Zorn theorem generalizes the theorem to alternative rings: every finite simple alternative ring is a field. The Artin–Wedderburn theorem is a classification...

numbers, the inner product is a non-degenerate Hermitian bilinear form. Brauer's theorem on induced characters Jean-Pierre Serre, Linear representations of...

Warning (1935) and a slightly weaker form of the theorem, known as Chevalley's theorem, was proved by Chevalley (1935). Chevalley's theorem implied Artin's and Dickson's...

Schur–Weyl duality is a mathematical theorem in representation theory that relates irreducible finite-dimensional representations of the general linear...

is more delicate, but Richard Brauer developed a powerful theory of characters in this case as well. Many deep theorems on the structure of finite groups...

Thue–Siegel–Roth theorem in Diophantine approximation, Siegel's method, Siegel's lemma and the Siegel mass formula for quadratic forms. He has been named...

algebra, the focal subgroup theorem describes the fusion of elements in a Sylow subgroup of a finite group. The focal subgroup theorem was introduced in (Higman...

is a well defined operation. This forms a group structure on the set of such equivalence classes called the Brauer group, denoted Br ( R ) {\displaystyle...

modularity conjecture, regardless of projective image subgroup. Brauer's theorem on induced characters implies that all Artin L-functions are products...

invariants of a quadratic forms over a local field are precisely the dimension, discriminant and Hasse invariant. For quadratic forms over a number field,...

seemingly unrelated theorems from abstract algebra, theory of quadratic forms, algebraic K-theory and the theory of motives. The theorem asserts that a certain...