- -

Triangles in the graph of conjugacy classes of normal subgroups

RiuNet: Institutional repository of the Polithecnic University of Valencia

Share/Send to

Cited by

Statistics

Triangles in the graph of conjugacy classes of normal subgroups

Show full item record

Beltrán, A.; Felipe Román, MJ.; Melchor, C. (2017). Triangles in the graph of conjugacy classes of normal subgroups. Monatshefte für Mathematik. 182(1):5-21. https://doi.org/10.1007/S00605-015-0866-9

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/149080

Files in this item

[Pdf]
Name: Beltrán;Felipe;Melchor ...
Size: 427.4Kb
Format: PDF
Description: Versión del Autor.
Open/Preview
[Cerrado]
Name: art:10.1007/s0060 ...
Size: 533.5Kb
Format: PDF
Description: Versión editorial
Request a copy of the document

Item Metadata

Title: Triangles in the graph of conjugacy classes of normal subgroups
Author: Beltrán, Antonio Felipe Román, María Josefa Melchor, Carmen
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[EN] Let G be a finite group and N a normal subgroup of G. We determine the structure of N when the graph G(N), which is the graph associated to the conjugacy classes of G contained in N, has no triangles and when the graph ...[+]
Subjects: Finite groups , Conjugacy classes , Normal subgroups , Graphs
Copyrigths: Reserva de todos los derechos
Source:
Monatshefte für Mathematik. (issn: 0026-9255 )
DOI: 10.1007/S00605-015-0866-9
Publisher:
Springer-Verlag
Publisher version: https://doi.org/10.1007/S00605-015-0866-9
Project ID:
UJI/P11B2015-77
GV/PROMETEOII/2015/011
Thanks:
The research of the first and second authors is supported by the Valencian Government, Proyecto PROMETEOII/2015/011. The first and the third authors are also partially supported by Universitat Jaume I, Grant P11B2015-77.
Type: Artículo

References

Bertram, E.A., Herzog, M., Mann, A.: On a graph related to conjugacy classes of groups. Bull. London Math. Soc. 22(6), 569-575 (1990)

Beltrán, A., Felipe, M.J., Melchor, C.: Graphs associated to conjugacy classes of normal subgroups in finite groups. J. Algebra 443, 335-348 (2015)

Camina, A.R.: Arithmetical conditions on the conjugacy class numbers of a finite group. J. London Math. Soc. 2(5), 127-132 (1972) [+]
Bertram, E.A., Herzog, M., Mann, A.: On a graph related to conjugacy classes of groups. Bull. London Math. Soc. 22(6), 569-575 (1990)

Beltrán, A., Felipe, M.J., Melchor, C.: Graphs associated to conjugacy classes of normal subgroups in finite groups. J. Algebra 443, 335-348 (2015)

Camina, A.R.: Arithmetical conditions on the conjugacy class numbers of a finite group. J. London Math. Soc. 2(5), 127-132 (1972)

Deaconescu, M.: Classification of finite groups with all elements of prime order. Proc. Am. Math. Soc. 106(3), 625-629 (1989)

Doerk, K., Hawkes, T.: Finite soluble groups. de Gruyter Expositions in Mathematics, vol. 4. Walter de Gruyter, Berlin (1992)

Fang, M., Zhang, P.: Finite groups with graphs containing no triangles. J. Algebra 264(2), 613-619 (2003)

Higman, G.: Finite groups in which every element has prime power order. J. London Math. Soc. 32, 335-342 (1957)

Manz, O., Wolf, T.R.: Representations of solvable groups. Cambridge Univ. Press, Cambridge (1993)

Riese, U., Shahabi, M.A.: Subgroups which are the union of four conjugacy classes. Commun. Algebra 29(2), 695-701 (2001)

Shahryari, M., Shahabi, M.A.: Subgroups which are the union of three conjugate classes. J. Algebra 207(1), 326-332 (1998)

The GAP Group.: GAP–groups, algorithms and programming, Vers. 4.4.12. (2008). http://www.gap-system.org

[-]

This item appears in the following Collection(s)

Show full item record