• 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...
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  • 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...
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  • Thumbnail for Richard Brauer
    MR 0581120 Brauer algebra Brauer–Cartan–Hua theorem Brauer–Nesbitt theorem Brauer–Manin obstruction Brauer–Siegel theorem Brauer's theorem on forms...
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  • Thumbnail for Classification of finite simple groups
    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...
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  • 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...
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  • 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...
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  • Thumbnail for Emmy Noether
    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...
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  • seemingly unrelated theorems from abstract algebra, theory of quadratic forms, algebraic K-theory and the theory of motives. The theorem asserts that a certain...
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  • least action. Isomorphism theorems In mathematics, specifically abstract algebra, the isomorphism theorems are three theorems that describe the relationship...
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  • multiplication. General Isomorphism theorems for rings Nakayama's lemma Structure theorems The Artin–Wedderburn theorem determines the structure of semisimple...
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  • on IUT Summit, July 2016, Ivan Fesenko Milne, J. S. Arithmetic duality theorems. Charleston, SC: BookSurge, LLC 2006 Fesenko, Ivan (2015), Arithmetic deformation...
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  • Jacques Herbrand introduces the Herbrand quotient. 1931 The Albert–Brauer–Hasse–Noether theorem proves the Hasse principle for simple algebras over global fields...
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  • Thumbnail for Field (mathematics)
    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...
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  • Thumbnail for Issai Schur
    theorem Schur–Zassenhaus theorem Schur triple Schur decomposition Schur's lower bound In his commemorative speech, Alfred Brauer (PhD candidate of Schur)...
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  • 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...
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  • Thumbnail for Saunders Mac Lane
    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...
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  • in general true that φ {\displaystyle \varphi } is surjective. Brauer's induction theorem asserts that φ {\displaystyle \varphi } is surjective, provided...
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  • 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...
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  • Thumbnail for William Burnside
    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...
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  • theorems concerning a PID, the most important one is the structure theorem for finitely generated modules over a principal ideal domain. The theorem may...
    99 KB (13,683 words) - 00:24, 11 December 2024
  • Thumbnail for John von Neumann
    than capable of doing so, giving the incompleteness theorems and Birkhoff's pointwise ergodic theorem as examples. Von Neumann had a virtuosity in following...
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  • Thumbnail for Finite element method
    original on 2018-07-19. Retrieved 2019-09-19. Hastings, J. K., Juds, M. A., Brauer, J. R., Accuracy and Economy of Finite Element Magnetic Analysis, 33rd Annual...
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  • Thumbnail for George David Birkhoff
    four-color problem, the three-body problem, and general relativity. Today, Birkhoff is best remembered for the ergodic theorem. The George D. Birkhoff...
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  • Thumbnail for Reductive group
    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...
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  • Thumbnail for Orthogonal group
    groups list of simple Lie groups Representations of classical Lie groups Brauer algebra Infinite subsets of a compact space have an accumulation point and...
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  • Thumbnail for Representation theory
    that Maschke's theorem no longer holds (because |G| is not invertible in F and so one cannot divide by it). Nevertheless, Richard Brauer extended much...
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  • Thumbnail for Representation theory of the Lorentz group
    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...
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  • Thumbnail for Spinor
    Spinor (category Rotation in three dimensions)
    even-graded Clifford algebra. Lawson & Michelsohn 1989, Appendix D. Brauer & Weyl 1935. Brauer, Richard; Weyl, Hermann (1935). "Spinors in n dimensions". American...
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  • ideals. First of four papers showing the close connection between these three subjects. See also publications #32, #33, and #35. |- | 30 || 1926 || Der...
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  • Thumbnail for Francesco Severi
    pp. 13–25, MR 1185553, Zbl 0836.32001. "The Severi and Severi–Kneser theorems for analytic functions of several complex variables and their further developments"...
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