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...

This is a list of notable theorems. Lists of theorems and similar statements include: List of algebras List of algorithms List of axioms List of conjectures...

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

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...

consists of many stand-alone theorems, dealing with important special cases. Much of the work of proving these theorems was devoted to the analysis of...

Göttingen in 1915, she proved the two Noether's theorems, "one of the most important mathematical theorems ever proved in guiding the development of modern...

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...

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

multiplication. General Isomorphism theorems for rings Nakayama's lemma Structure theorems The Artin–Wedderburn theorem determines the structure of semisimple...

on IUT Summit, July 2016, Ivan Fesenko Milne, J. S. Arithmetic duality theorems. Charleston, SC: BookSurge, LLC 2006 Fesenko, Ivan (2015), Arithmetic deformation...

least action. Isomorphism theorems In mathematics, specifically abstract algebra, the isomorphism theorems are three theorems that describe the relationship...

Jacques Herbrand introduces the Herbrand quotient. 1931 The Albert–Brauer–Hasse–Noether theorem proves the Hasse principle for simple algebras over global fields...

than capable of doing so, giving the incompleteness theorems and Birkhoff's pointwise ergodic theorem as examples. Von Neumann had a virtuosity in following...

mathematical analysis, which are based on fields with additional structure. Basic theorems in analysis hinge on the structural properties of the field of real numbers...

category theory in 1945. He is especially known for his work on coherence theorems. A recurring feature of category theory, abstract algebra, and of some...

Richard Borcherds for the moonshine module in 1992 using the no-ghost theorem from string theory and the theory of vertex operator algebras and generalized...

contributions to group theory is his paqb theorem, which shows that every finite group whose order is divisible by fewer than three distinct primes is solvable. In...

four-color problem, the three-body problem, and general relativity. Today, Birkhoff is best remembered for the ergodic theorem. The George D. Birkhoff...

are implied rather than stated. These entries are concise summaries; the main subject articles can be consulted for more detail. There is no scientific...

theorem Schur–Zassenhaus theorem Schur triple Schur decomposition Schur's lower bound In his commemorative speech, Alfred Brauer (PhD candidate of Schur)...

even-graded Clifford algebra. Lawson & Michelsohn 1989, Appendix D. Brauer & Weyl 1935. Brauer, Richard; Weyl, Hermann (1935). "Spinors in n dimensions". American...

Wieman, and Charles H. Townes. Notable mathematicians Raoul Bott, Richard Brauer, Samuel Eilenberg (co-founder of category theory), Frederick Gehring, Herman...

theorems concerning a PID, the most important one is the structure theorem for finitely generated modules over a principal ideal domain. The theorem may...

Milne (2017), Theorems 23.25 and 23.55. Milne (2017), Corollary 23.47. SGA 3 (2011), v. 3, Théorème XXV.1.1; Conrad (2014), Theorems 6.1.16 and 6.1.17...

ideals. First of four papers showing the close connection between these three subjects. See also publications #32, #33, and #35. |- | 30 || 1926 || Der...

in general true that φ {\displaystyle \varphi } is surjective. Brauer's induction theorem asserts that φ {\displaystyle \varphi } is surjective, provided...

This is one of the conclusions of Cartan's theorem, the theorem of the highest weight. Hall (2015, Theorems 9.4–5.) Hall 2015, Section 8.2 The root system...

Marshall Stone Stone representation theorem for Boolean algebras initiates various Stone dualities. 1937 Richard Brauer–Cecil Nesbitt Frobenius algebras...

variety modulo high powers pn of a fixed prime number p. General rationality theorems are now known, drawing on methods of mathematical logic. Infinite descent...

groups list of simple Lie groups Representations of classical Lie groups Brauer algebra Infinite subsets of a compact space have an accumulation point and...