scholarly journals The Burnside problem for $\operatorname{Diff}_{\omega }(\mathbb{S}^{2})$

2020 ◽  
Vol 169 (17) ◽  
pp. 3261-3290
Author(s):  
Sebastián Hurtado ◽  
Alejandro Kocsard ◽  
Federico Rodríguez-Hertz
Keyword(s):  
Burnside Problem

scholarly journals The restricted Burnside problem for Moufang loops

2021 ◽  
pp. 1-11
Author(s):  
ALEXANDER GRISHKOV ◽  
LIUDMILA SABININA ◽  
EFIM ZELMANOV
Keyword(s):  
Prime Number ◽  
Burnside Problem ◽  
Moufang Loops ◽  
Restricted Burnside Problem ◽  
Positive Integers

Abstract We prove that for positive integers $m \geq 1, n \geq 1$ and a prime number $p \neq 2,3$ there are finitely many finite m-generated Moufang loops of exponent $p^n$ .

scholarly journals Bounds in the restricted Burnside problem

1999 ◽  
Vol 67 (2) ◽  
pp. 261-271 ◽  
Author(s):  
Michael Vaughan-Lee ◽  
E. I. Zel'manov
Keyword(s):  
Burnside Problem ◽  
Current State ◽  
Restricted Burnside Problem

AbstractWe survey the current state of knowledge of bounds in the restricted Burnside problem. We make two conjectures which are related to the theory of PI-algebras.

Burnside problem for measure preserving groups and for 2-groups of toral homeomorphisms

2013 ◽  
Vol 168 (1) ◽  
pp. 387-396 ◽  
Author(s):  
Nancy Guelman ◽  
Isabelle Liousse
Keyword(s):  
Burnside Problem

The Algebra of Dimension-Linking Operators

1965 ◽  
Vol 8 (2) ◽  
pp. 203-222 ◽  
Author(s):  
R. H. Bruck
Keyword(s):  
Group Theory ◽  
Special Reference ◽  
Mathematical Society ◽  
Summer Institute ◽  
Burnside Problem ◽  
The Third ◽  
Australian Mathematical Society ◽  
Suitable Definition ◽  
Definition Of ◽  
Restricted Burnside Problem

In the course of preparing a book on group theory [1] with special reference to the Restricted Burnside Problem and allied problems I stumbled upon the concept of a dimension-linking operator. Later, when I lectured to the Third Summer Institute of the Australian Mathematical Society [2], G. E. Wall raised the question whether the dimension-linking operators could be made into a ring by introduction of a suitable definition of multiplication. The answer was easily found to be affirmative; the result wasthat the theory of dimen sion-linking operators became exceedingly simple.

What is the Burnside problem?

Resonance ◽  
2005 ◽  
Vol 10 (7) ◽  
pp. 34-48
Author(s):  
Binod Kumar Sahoo ◽  
B Sury
Keyword(s):  
Burnside Problem
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