Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-20T01:35:45.679Z Has data issue: false hasContentIssue false
  • English
  • Français

Finite groups which are products of pairwise totally permutable subgroups

Published online by Cambridge University Press:  20 January 2009

A. Ballester-Bolinches ,
M. C. Pedraza-Aguilera  and
M. D. Pérez-Ramos
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Finite groups which are products of pairwise totally permutable subgroups are studied in this paper. The -residual, -projectors and -normalizers in such groups are obtained from the corresponding subgroups of the factor subgroups under suitable hypotheses.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 41 , Issue 3 , October 1998 , pp. 567 - 572
Copyright
Copyright © Edinburgh Mathematical Society 1998

References

REFERENCES

1. Asaad, M. and Shaalan, A., On the supersolvability of finite groups, Arch. Math. 53 (1989), 318–326.CrossRefGoogle Scholar
2. Ballester-Bolinches, A., Pedraza-Aguilera, M. C. and Pérez-Ramos, M. D., On finite products of totally permutable groups, Bull. Austral. Math. Soc. 53 (1996), 441–445CrossRefGoogle Scholar
3. Ballester-Bolinches, A. and Pérez-Ramos, M. D., A Question of R. Maier concerning formations, J. Algebra 182 (1996), 738–747.Google Scholar
4. Ballester-Bolinches, A. and Pérez-Ramos, M. D., On -subnormal subgroups and Frattini-like subgroups of a finite group, Glasgow Math. J. 36 (1994), 241–247.Google Scholar
5. Carocca, A., A note on the product of -subgroups in a finite group, Proc. Edinburgh Math. Soc. 39 (1996), 37–42.Google Scholar
6. Doerk, K. and Hawkes, T., Finite soluble groups (Walter De Gruyter, Berlin-New York, 1992).Google Scholar
7. Doerk, K. and Hawkes, T., On the residual of a direct product, Arch. Math. (Basel) 30 (1978), 458–468.Google Scholar
8. Maier, R., A completeness property of certain formations, Bull. London Math. Soc. 24 (1992), 540–544.CrossRefGoogle Scholar