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'...
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Orbit (group theory) Orbit-stabilizer theorem Cayley's theorem Burnside's lemma Burnside's problem Loop group Fundamental group General Ring (mathematics)...
12 KB (1,128 words) - 01:18, 14 November 2023
Brouwer fixed-point theorem Buckingham π theorem (proof in progress) Burnside's lemma Cantor's theorem Cantor–Bernstein–Schroeder theorem Cayley's formula...
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called permutation groups. Cayley's theorem unifies the two. Although Burnside attributes the theorem to Jordan, Eric Nummela nonetheless argues that...
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counterexamples to the von Neumann conjecture are not linear. This includes Thompson's group F and Tarski monster groups. By Burnside's theorem, infinite,...
12 KB (1,548 words) - 20:08, 3 November 2023
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 (5,073 words) - 06:32, 2 September 2024
Ring (mathematics) (section Burnside ring of a group)
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 (13,632 words) - 06:07, 27 August 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...
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by it to define analytic sets as continuous images of Borel sets. Dehn's lemma. Dehn published an attempted proof in 1910, but Kneser found a gap in 1929...
35 KB (4,273 words) - 15:32, 26 August 2024
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 (5,204 words) - 12:00, 26 May 2024