INVESTIGADORES
BARMAK jonathan Ariel
artículos
Título:
Invariants for Metabelian Groups of Prime Power Exponent, Colorings and Stairs
Autor/es:
BARMAK, JONATHAN ARIEL
Revista:
CANADIAN JOURNAL OF MATHEMATICS
Editorial:
CANADIAN MATHEMATICAL SOC
Referencias:
Lugar: Vancouver; Año: 2021 vol. 75 p. 267 - 297
ISSN:
0008-414X
Resumen:
We study the free metabelian group M(2,n) of prime power exponent n on two generators by means of invariants M(2,n)′→Zn that we construct from colorings of the squares in the integer grid R×Z∪Z×R . In particular, we improve bounds found by Newman for the order of M(2,2k) . We study identities in M(2,n) , which give information about identities in the Burnside group B(2,n) and the restricted Burnside group R(2,n) .
