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ON THE TOTAL COMPONENT OF THE PARTIAL SCHUR MULTIPLIER

Part of: Semigroups Representation theory of groups

Published online by Cambridge University Press:  26 February 2016

H. G. G. DE LIMA  and
H. PINEDO
H. G. G. DE LIMA
Affiliation:
Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão, 1010 05508-090 São Paulo, SP, Brasil email helderg@ime.usp.br
H. PINEDO*
Affiliation:
Escuela de Matemáticas, Universidad Industrial de Santander, Cra 27 calle 9, Bucaramanga, Santander, Colombia email hpinedot@uis.edu.co
*
✉hpinedot@uis.edu.co
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Abstract

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In this paper we determine the structure of the total component of the Schur multiplier over an algebraically closed field of some relevant families of groups, such as dihedral groups, dicyclic groups, the infinite cyclic group and the direct product of two finite cyclic groups.

Keywords

partial Schur multiplierfactor settotal component

MSC classification

Primary: 20C25: Projective representations and multipliers
Secondary: 20M30: Representation of semigroups; actions of semigroups on sets 20M50: Connections of semigroups with homological algebra and category theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 100 , Issue 3 , June 2016 , pp. 374 - 402
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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