Indexing
All Issues
Submission
Author Guidelines
Reviewers
Editorial Members
Publication Fee
Vol.1 , No. 6, Publication Date: Jan. 12, 2016, Page: 401-405
| [1] | Lijiang Zeng, Research Centre of Zunyi Normal College, Zunyi, P. R. China. |
This paper introduces some derivation of p-radical group from the research of modern group theory. Through this a derivation of the presentation process, finally showed the methods and tools frequently used in the study of group theory, this is the purpose of this paper, because the deductive process is very useful to the professional and technical personnel of natural sciences, applied sciences and relevant professional, as well as their own research or study. Let H be arbitrary subgroup of group G, we define three sets on them, we define p-radical groups to use the properties of the three sets. Finally, we prove two interesting theorems about p-radical groups.
Keywords
p-radical Group, Completely Reducible Module, Annihilator, Sp-group, Defect Group
Reference
| [01] | Deskins, W. E. On the radical of a group algebra[J]. Pacific. J. Math. Vol.8, 693-697. MR21, 2696. |
| [02] | Mackey, G. W. On induced representations of groups[J]. Amer. J. Math. Vol.73, 576-592. MR13, 106. |
| [03] | Khatri, D. C. Relative projectivity, the radical and complete reducibility in modular group algebras[J]. Trans. A. M. S. Vol.186.51-63, MR48, 6222. |
| [04] | Derek, J. S. Robinson. A Course in the Theory of Groups (2nd ed)[M]. Beijing: The world book publishing company, 2003, 297-316. |
| [05] | Motose, K. On radicals of group rings of Frobenius groups[J]. Hokkaido Math. J. Vol.3, 23-24, MR49, 9020. |
| [06] | Khatri, D. C. and Sinha, I. Projective pairings in groups II[J]. Math. Japan Vol.14, 127-135, MR49, 9020. |
| [07] | ZENG L. On the classification of the finite subgroups of SO(3) [C]. Proceedings of International Congress on Engineering and Business Management (EBM2011), Wuhan, pp2289-2292, ISTP and ISSHP. |
| [08] | Broué, M. Remarks on blocks and subgroups[J]. J. Algebra Vol.51, 228 -232. MR57, 6168. |
| [09] | ZENG L. On two classes of very basic and important groups[C]., 2015 International Congress on Social Science, Management and Economics(SSME2015), Deyao Tan(ed), May 9-10, 2015, pp782-787 (Guangzhou), Deyao Tan (ed), DEStech Publications, Francis, pp782-787. CPCI-SSH(ISSHP). |
| [10] | ZENG L. On the construction of normal subgroups[J]. Studies in Mathematical Sciences (Canada), 2010:1(1). pp 52-60. |
| [11] | Khatri, D. C. Projective-sensitivity in modular group algebras[J]. Math. Japan Vol.19, 71-78.MR51, 669. |
| [12] | ZENG L. Reducible property of a finitely generated module[J]. Advances in Natural Science (Canada), 2010:3(2). pp 270-276. |
