- -

A question on partial CAP-subgroups of finite groups

RiuNet: Institutional repository of the Polithecnic University of Valencia

Share/Send to

Cited by

Statistics

A question on partial CAP-subgroups of finite groups

Show full item record

Ballester Bolinches, A.; Esteban Romero, R.; Li, Y. (2012). A question on partial CAP-subgroups of finite groups. Science China Mathematics. 5(55). doi:10.1007/s11425-011-4356-9

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/19049

Files in this item

Item Metadata

Title: A question on partial CAP-subgroups of finite groups
Author:
UPV Unit: Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
Issued date:
Abstract:
A subgroup H of a finite group G is a partial CAP-subgroup of G if there is a chief series of G such that H either covers or avoids every chief factor of the series. The structural impact of the partial cover and avoidance ...[+]
Subjects: Finite group , Minimal subgroup , Partial cover and avoidance property , Saturated formation
Copyrigths: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Source:
Science China Mathematics. (issn: 1674-7283 )
DOI: 10.1007/s11425-011-4356-9
Publisher:
Springer and Science China Press
Publisher version: http://link.springer.com/article/10.1007/s11425-011-4356-9
Description: This paper has been published in Science China Mathematics, 55(5):961-966 (2012). Copyright 2012 by Science China Press and Springer-Verlag. The final publication is available at www.springerlink.com. http://link.springer.com/article/10.1007/s11425-011-4356-9 http://dx.doi.org/10.1007/s11425-011-4356-9
Thanks:
This work was supported by MEC of Spain, FEDER of European Union (Grant No. MTM-2007-68010-C03-02), MICINN of Spain (Grant No. MTM-2010-19938-C03-01), National Natural Science Foundation of China (Grant No. 11171353/A010201) ...[+]
Type: Artículo
URL: http://link.springer.com/article/10.1007/s11425-011-4356-9

References

Ballester-Bolinches A, Ezquerro L M. Classes of Finite Groups. In: Mathematics and its Applications, vol. 584. New York: Springer, 2006

Ballester-Bolinches A, Ezquerro L M, Skiba A N. Local embeddings of some families of subgroups of finite group. Acta Math Sin Engl Ser, 2009, 25: 869–882

Ballester-Bolinches A, Ezquerro L M, Skiba A N. On second maximal subgroups of Sylow subgroups of finite groups. J Pure Appl Algebra, 2011, 215: 705–714 [+]
Ballester-Bolinches A, Ezquerro L M. Classes of Finite Groups. In: Mathematics and its Applications, vol. 584. New York: Springer, 2006

Ballester-Bolinches A, Ezquerro L M, Skiba A N. Local embeddings of some families of subgroups of finite group. Acta Math Sin Engl Ser, 2009, 25: 869–882

Ballester-Bolinches A, Ezquerro L M, Skiba A N. On second maximal subgroups of Sylow subgroups of finite groups. J Pure Appl Algebra, 2011, 215: 705–714

Doerk K, Hawkes T. Finite Soluble Groups. In: De Gruyter Expositions in Mathematics, vol. 4. Berlin-New York: Walter de Gruyter, 1992

Ezquerro L M. A contribution to the theory of finite supersolvable groups. Rend Sem Mat Univ Padova, 1993, 89: 161–170

Fan Y, Guo X Y, Shum K P. Remarks on two generalizations of normality of subgroups (in Chinese). Chinese Ann Math Ser A, 2006, 27: 169–176

Guo X Y, Wang L L. On finite groups with some semi cover-avoiding subgroups. Acta Math Sin Engl Ser, 2007, 23: 1689–1696

Huppert B. Endliche Gruppen I. In: Grund Math Wiss, vol. 134. Berlin-Heidelberg-New York: Springer-Verlag, 1967

Huppert B, Blackburn N. Finite Groups III. In: Grund Math Wiss, vol. 243. Berlin: Springer-Verlag, 1982

Li Y M. On cover-avoiding subgroups of Sylow subgroups of finite groups. Rend Sem Mat Univ Padova, 2010, 123: 249–258

Li Y M, Miao L, Wang Y M. On semi cover-avoiding maximal subgroups of Sylow subgroups of finite groups. Comm Algebra, 2009, 37: 1160–1169

[-]

This item appears in the following Collection(s)

Show full item record