The Burnside problem asks whether a finitely generated group in which every element has finite order must necessarily be a finite group. It was posed by...

sometimes confused with the Irish mathematician William S. Burnside (1839–1920). William Burnside (2 July 1852 – 21 August 1927) was an English mathematician...

University and was known for his work in group theory, especially on the Burnside problem. Adian was born near Elizavetpol. He grew up there in an Armenian family...

relators and conjugations of relators Bounded Burnside problem: for which positive integers m, n is the free Burnside group B(m,n) finite? In particular, is...

for instance by Tarski monster groups constructed by Olshanskii. Burnside's problem is a classical question that deals with the relationship between periodic...

Burnside's lemma, sometimes also called Burnside's counting theorem, the Cauchy–Frobenius lemma, or the orbit-counting theorem, is a result in group theory...

work on combinatorial problems in nonassociative algebra and group theory, including his solution of the restricted Burnside problem. He was awarded a Fields...

Sylvia; Gruber, David (21 August 2006). "Manifold Destiny: A legendary problem and the battle over who solved it". The New Yorker. Archived from the original...

Look up Burnside or burnside in Wiktionary, the free dictionary. Burnside may refer to: Burnside Ridges, Oates Land City of Burnside, a local government...

automorphisms of p-groups (Khukhro 1998), the solution of the restricted Burnside problem (Vaughan-Lee 1993), the classification of finite p-groups via the coclass...

it is finitely generated). As such, it is a counterexample to the Burnside problem. The group G has intermediate growth. The group G is amenable but not...

number of algorithmically insoluble problems, most notably the word problem for groups; and the classical Burnside problem. See the book by Chandler and Magnus...

Sergei Adian, known for his work in group theory, especially on the Burnside problem Aleksandr Aleksandrov, developer of CAT(k) space and Alexandrov's uniqueness...

day tended to leak hot gas when fired, but Burnside's design eliminated this problem. In 1857, the Burnside carbine won a competition at West Point against...

the Burnside problem in group theory. Kurosh asked whether there can be a finitely-generated infinite-dimensional algebraic algebra (the problem being...

Shafarevich at the Steklov Institute of Mathematics with a thesis on the Burnside problem. He became a faculty member at Moscow State University in 1963. Kostrikin...

Cannonito, F.B.; Lyndon, Roger C. (1973), Word problems : decision problems and the Burnside problem in group theory, Studies in logic and the foundations...

Restricted Burnside Problem (Oxford University Press, 1st ed., 1990; 2nd ed., 1993). (with E. I. Zel'manov) "Upper bounds in the restricted Burnside problem",...

word problem solvable by Dehn's algorithm. Small cancellation methods are also used for constructing Tarski monsters, and for solutions of Burnside's problem...

counterexamples to conjectures in group theory, most importantly to Burnside's problem and the von Neumann conjecture. A Tarski group is an infinite group...

his work on combinatorial problems in group theory: the word problem for groups, and his progress in the Burnside problem. In 1955, he proved the Novikov–Boone...

of Serge Lang's map allowed a revolution in algebraic groups. The Burnside problem had tremendous progress, with better counterexamples constructed in...

open problems. As in other areas of mathematics, such problems are often made public at professional conferences and meetings. Many of the problems posed...

to the Kurosh–Levitzky problem on the nilpotency of finitely generated nil algebras, and so to a weak form of Burnside's problem. Golod was a student of...

The Burnside Fountain is a non-functioning drinking fountain at the southeast corner of Worcester Common in Worcester, Massachusetts. It consists of two...

and Naimark's problem Pyotr Novikov, solved the word problem for groups and Burnside's problem Sergei Novikov, worked on algebraic topology and soliton...

constitutes Golod and Shafarevich's negative solution of the generalized Burnside problem in 1964; later, other explicit examples of infinite finitely generated...

theory of locally finite groups (Dixon 1994, p. v.). Similarly to the Burnside problem, mathematicians have wondered whether every infinite group contains...

Progress on traditional combinatorial group theory topics, such as the Burnside problem, the study of Coxeter groups and Artin groups, and so on (the methods...

three. The series was produced in Leeds by Yorkshire Television. Neil Burnside (Roy Marsden) is director of operations (D/Ops) in Britain's Secret Intelligence...