On cohomologies and extensions of cyclic groups


Autoria(s): GOLASINSKI, Marek; GONCALVES, Daciberg Lima
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2011

Resumo

Cohomology groups H(s)(Z(n), Z(m)) are studied to describe all groups up to isomorphism which are (central) extensions of the cyclic group Z(n) by the Z(n)-module Z(m). Further, for each such a group the number of non-equivalent extensions is determined. (C) 2011 Elsevier B.V. All rights reserved.

Identificador

TOPOLOGY AND ITS APPLICATIONS, v.158, n.14, Special Issue, p.1858-1865, 2011

0166-8641

http://producao.usp.br/handle/BDPI/30602

10.1016/j.topol.2011.06.022

http://dx.doi.org/10.1016/j.topol.2011.06.022

Idioma(s)

eng

Publicador

ELSEVIER SCIENCE BV

Relação

Topology and Its Applications

Direitos

restrictedAccess

Copyright ELSEVIER SCIENCE BV

Palavras-Chave #Automorphism group #Cohomology group #Cyclic group #Euler`s function #Extension #Semi-direct product #Mathematics, Applied #Mathematics
Tipo

article

original article

publishedVersion