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'...

Orbit (group theory) Orbit-stabilizer theorem Cayley's theorem Burnside's lemma Burnside's problem Loop group Fundamental group General Ring (mathematics)...

Brouwer fixed-point theorem Buckingham π theorem (proof in progress) Burnside's lemma Cantor's theorem Cantor–Bernstein–Schroeder theorem Cayley's formula...

called permutation groups. Cayley's theorem unifies the two. Although Burnside attributes the theorem to Jordan, Eric Nummela nonetheless argues that...

counterexamples to the von Neumann conjecture are not linear. This includes Thompson's group F and Tarski monster groups. By Burnside's theorem, infinite,...

Ironically, Burnside made many original contributions to group theory, and Burnside's Lemma is sometimes jokingly referred to as "the lemma that is not...

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...

hypotheses List of inequalities Lists of integrals List of laws List of lemmas List of limits List of logarithmic identities List of mathematical functions...

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...

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...