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dc.contributor.author
Barmak, Jonathan Ariel  
dc.date.available
2022-08-25T02:22:42Z  
dc.date.issued
2021-12  
dc.identifier.citation
Barmak, Jonathan Ariel; Invariants for metabelian groups of prime power exponent, colorings, and stairs; Canadian Mathematical Soc; Canadian Journal Of Mathematics; 12-2021; 1 - 31  
dc.identifier.issn
0008-414X  
dc.identifier.uri
http://hdl.handle.net/11336/166514  
dc.description.abstract
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) .  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Canadian Mathematical Soc  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Burnside groups  
dc.subject
metabelian groups  
dc.subject
winding invariant  
dc.subject
colorings  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Invariants for metabelian groups of prime power exponent, colorings, and stairs  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2022-08-23T20:46:00Z  
dc.identifier.eissn
1496-4279  
dc.journal.pagination
1 - 31  
dc.journal.pais
Canadá  
dc.journal.ciudad
Vancouver  
dc.description.fil
Fil: Barmak, Jonathan Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.journal.title
Canadian Journal Of Mathematics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.4153/S0008414X21000675  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/canadian-journal-of-mathematics/article/abs/invariants-for-metabelian-groups-of-prime-power-exponent-colorings-and-stairs/15BFD183D6CE9DC1FBC9AF09789AB56F  

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