Publicado

2016-01-01

The total component of the partial Schur multiplier of the elementary abelian 3-group

DOI:

https://doi.org/10.15446/recolma.v50n1.62199

Palabras clave:

partial factor set, total component, partial coboundary (en)

Autores/as

  • Hector Pinedo Universidad Industrial de Santander

In this work we determine the total component of the partial Schur
multiplier of elementary abelian 3-groups.

DOI: https://doi.org/10.15446/recolma.v50n1.62199

The total component of the partial Schur multiplier of the elementary abelian 3-group

La componente total del multiplicador parcial de Schur del 3-grupo abeliano elemental

Hector Pinedo1

1 Universidad Industrial de Santander, Bucaramanga, Colombia. hpinedot@uis.edu.co


Abstract

In this work we determine the total component of the partial Schur multiplier of elementary abelian 3-groups.

Keywords: partial factor set, total component, partial coboundary.


2010 Mathematics Subject Classification: 20C25, 20M30, 20M50.


Resumen

En este trabajo determinamos la componente total del multiplicador parcial de Schur para los 3-grupos abelianos elementales.

Palabras claves: conjunto factor parcial, componente total, cobordo parcial.


Texto completo disponible en PDF


References

[1] H. G. G de Lima and H. Pinedo, On the total component of the partial schur multipier, J. Aust. Math. Soc. 100 (2016), no. 3, 374-402.

[2] M. Dokuchaev, H. G. G. de Lima, and H. Pinedo, Partial representations and their domains, preprint.

[3] M. Dokuchaev, R. Exel, and P. Piccione, Partial representations and partial group algebras, J. Algebra 226 (2000), 502-532.

[4] M. Dokuchaev and N. Khrypchenko, Partial cohomology of groups, J. Algebra 427 (2015), 251-268.

[5] M. Dokuchaev and C. Polcino Milies, Isomorphisms of partial group rings, Glasg. Math 409 (2009), 89-105.

[6] M. Dokuchaev and B. Novikov, Partial projective representations and partial actions, J. Pure Appl. Algebra 214 (2010), 251-268.

[7] ______, Partial projective representations and partial actions ii, J. Pure Appl. Algebra 214 (2012), 438-455.

[8] M. Dokuchaev, B. Novikov, and H. Pinedo, The partial Schur multiplier of a group, J. Algebra 392 (2013), 199-225.

[9] M. Dokuchaev and J. J. Simon, Invariants of partial group algebras of finite p-groups, Contemp. Math 427 (2009), 1-17.

[10] ______, Isomorphisms of partial group rings, Comm. Algebra 44 (2016), 680-696.

[11] M. Dokuchaev and N. Zhukavets, On finite degree partial representations of groups, J. Algebra 274 (2004), 309-334.

[12] B. Novikov and H. Pinedo, On components of the partial schur multiplier, Comm. Algebra 42 (2014), 2484-2495.

[13] H. Pinedo, On elementary domains of partial projective representations of groups, Algebra Discrete Math. 15 (2013), no. 1, 63-82.

[14] ______, A calculation of the partial Schur multiplier of S3, Int. Journal of Math., Game Theory and Algebra 22 (2014), no. 4, 405-417.

[15] ______, On the torsion part and the total component of the partial Schur multiplier, Comm. Algebra. To appear (2016).

(Recibido: octubre de 2015 Aceptado: abril de 2016)

Cómo citar

APA

Pinedo, H. (2016). The total component of the partial Schur multiplier of the elementary abelian 3-group. Revista Colombiana de Matemáticas, 50(1), 75–83. https://doi.org/10.15446/recolma.v50n1.62199

ACM

[1]
Pinedo, H. 2016. The total component of the partial Schur multiplier of the elementary abelian 3-group. Revista Colombiana de Matemáticas. 50, 1 (ene. 2016), 75–83. DOI:https://doi.org/10.15446/recolma.v50n1.62199.

ACS

(1)
Pinedo, H. The total component of the partial Schur multiplier of the elementary abelian 3-group. rev.colomb.mat 2016, 50, 75-83.

ABNT

PINEDO, H. The total component of the partial Schur multiplier of the elementary abelian 3-group. Revista Colombiana de Matemáticas, [S. l.], v. 50, n. 1, p. 75–83, 2016. DOI: 10.15446/recolma.v50n1.62199. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/62199. Acesso em: 22 ene. 2025.

Chicago

Pinedo, Hector. 2016. «The total component of the partial Schur multiplier of the elementary abelian 3-group». Revista Colombiana De Matemáticas 50 (1):75-83. https://doi.org/10.15446/recolma.v50n1.62199.

Harvard

Pinedo, H. (2016) «The total component of the partial Schur multiplier of the elementary abelian 3-group», Revista Colombiana de Matemáticas, 50(1), pp. 75–83. doi: 10.15446/recolma.v50n1.62199.

IEEE

[1]
H. Pinedo, «The total component of the partial Schur multiplier of the elementary abelian 3-group», rev.colomb.mat, vol. 50, n.º 1, pp. 75–83, ene. 2016.

MLA

Pinedo, H. «The total component of the partial Schur multiplier of the elementary abelian 3-group». Revista Colombiana de Matemáticas, vol. 50, n.º 1, enero de 2016, pp. 75-83, doi:10.15446/recolma.v50n1.62199.

Turabian

Pinedo, Hector. «The total component of the partial Schur multiplier of the elementary abelian 3-group». Revista Colombiana de Matemáticas 50, no. 1 (enero 1, 2016): 75–83. Accedido enero 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/62199.

Vancouver

1.
Pinedo H. The total component of the partial Schur multiplier of the elementary abelian 3-group. rev.colomb.mat [Internet]. 1 de enero de 2016 [citado 22 de enero de 2025];50(1):75-83. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/62199

Descargar cita

CrossRef Cited-by

CrossRef citations2

1. M. Dokuchaev. (2019). Recent developments around partial actions. São Paulo Journal of Mathematical Sciences, 13(1), p.195. https://doi.org/10.1007/s40863-018-0087-y.

2. Mikhailo Dokuchaev, Nicola Sambonet. (2019). Schur’s theory for partial projective representations. Israel Journal of Mathematics, 232(1), p.373. https://doi.org/10.1007/s11856-019-1876-4.

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