• as lemmas, first named for their originally minor purpose. These include, among others: Bézout's lemma Burnside's lemma Dehn's lemma Euclid's lemma Farkas'...
    4 KB (402 words) - 00:58, 1 September 2024
  • called permutation groups. Cayley's theorem unifies the two. Although Burnside attributes the theorem to Jordan, Eric Nummela nonetheless argues that...
    13 KB (1,626 words) - 16:25, 11 November 2023
  • Orbit (group theory) Orbit-stabilizer theorem Cayley's theorem Burnside's lemma Burnside's problem Loop group Fundamental group General Ring (mathematics)...
    12 KB (1,129 words) - 10:50, 10 October 2024
  • Brouwer fixed-point theorem Buckingham π theorem (proof in progress) Burnside's lemma Cantor's theorem Cantor–Bernstein–Schroeder theorem Cayley's formula...
    6 KB (593 words) - 20:11, 5 June 2023
  • counterexamples to the von Neumann conjecture are not linear. This includes Thompson's group F and Tarski monster groups. By Burnside's theorem, infinite,...
    13 KB (1,588 words) - 05:50, 19 October 2024
  • Ironically, Burnside made many original contributions to group theory, and Burnside's Lemma is sometimes jokingly referred to as "the lemma that is not...
    39 KB (5,130 words) - 17:32, 19 October 2024
  • group is associated its Burnside ring which uses a ring to describe the various ways the group can act on a finite set. The Burnside ring's additive group...
    99 KB (13,673 words) - 08:52, 19 October 2024
  • Thumbnail for Group theory
    used to simplify the counting of a set of objects; see in particular Burnside's lemma. The presence of the 12-periodicity in the circle of fifths yields...
    40 KB (5,207 words) - 17:31, 31 October 2024
  • hypotheses List of inequalities Lists of integrals List of laws List of lemmas List of limits List of logarithmic identities List of mathematical functions...
    73 KB (6,030 words) - 15:22, 20 October 2024
  • Thumbnail for Issai Schur
    Schur decomposition and for his work on group representations (Schur's lemma). Schur published under the name of both I. Schur, and J. Schur, the latter...
    29 KB (3,949 words) - 14:26, 14 October 2024