| Title:
|
On $5$- and $6$-decomposable finite groups (English) |
| Author:
|
Ashrafi, Ali Reza |
| Author:
|
Zhao, Yaoqing |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
53 |
| Issue:
|
4 |
| Year:
|
2003 |
| Pages:
|
373-383 |
| . |
| Category:
|
math |
| . |
| MSC:
|
20D05 |
| MSC:
|
20D10 |
| MSC:
|
20D60 |
| MSC:
|
20E34 |
| MSC:
|
20E45 |
| idZBL:
|
Zbl 1080.20019 |
| idMR:
|
MR2025470 |
| . |
| Date available:
|
2009-09-25T14:15:58Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131538 |
| . |
| Reference:
|
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| Reference:
|
[2] ASHRAFI A. R.-SAHRAEI H.: Subgroups which are a union of a given number of conjugacy classes.In: Groups, St. Andrews 2001, Oxford University, Oxford, 2001. Zbl 1067.20033, MR 2051512 |
| Reference:
|
[3] BERKOVICH, YA. G.-ZHMUD E.: Characters of Finite Groups.Part 2. Transl. Math. Monographs 181, Amer. Math. Soc, Providence, RI, 1999. MR 1650707 |
| Reference:
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[4] COLLINS M. J.: Representations and Characters of Finite Groups.Cambridge University Press, Cambridge, 1990. Zbl 0703.20001, MR 1050762 |
| Reference:
|
[5] CONWAY J. H.-CURTIS R. T.-NORTON S. P.-PARKER R. A.-WILSON R. A.: Atlas of Finite Groups. Maximal Subgroups and Ordinary Characters for Simple Groups.Clarendon Press, Oxford, 1985. Zbl 0568.20001, MR 0827219 |
| Reference:
|
[6] HERZOG M.: On finite simple groups of order divisible by three primes only.J. Algebra 10 (1968), 383-388. MR 0233881 |
| Reference:
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[7] GORENSTEIN D.: Finite Simple Groups. An Introduction to Their Classification.Plenum, New York-London, 1982. Zbl 0483.20008, MR 0698782 |
| Reference:
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[8] HUPPERT B.: Endliche Gruppen.Springer-Verlag, Berlin, 1967. Zbl 0217.07201, MR 0224703 |
| Reference:
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[9] ISAACS I. M.: Character Theory of Finite Groups.Pure Appl. Math. 69, Academic Press, New York-San Francisco-London, 1976. Zbl 0337.20005, MR 0460423 |
| Reference:
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[10] RIESE, UDO-SHAHABI M. A.: Subgroups which are the union of four conjugacy classes.Comm. Algebra 29 (2001), 695-701. MR 1841992 |
| Reference:
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[11] ROBINSON, DEREK J. S.: A Course in the Theory of Groups.(2nd ed.). Grad. Texts in Math. 80, Springer-Verlag, New York, 1996. MR 1357169 |
| Reference:
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[12] SAHRAEI H.: Subgroups which are a Union of Conjugacy Classes.M.Sc. Thesis, University of Kashan, 2000. |
| Reference:
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[13] SCHONERT M., al.: GAP: Groups, Algorithms and Programming.Lehrstuhl fur Mathematik, RWTH, Aachen, 1992. |
| Reference:
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[14] SHAHRYARI M.-SHAHABI M. A.: Subgroups which are the union of two conjugacy classes.Bull. Iranian Math. Soc. 25 (1999), 59-71. Zbl 0957.20020, MR 1771804 |
| Reference:
|
[15] SHAHRYARI M.-SHAHABI M. A.: Subgroups which are the union of three conjugate classes.J. Algebra 207 (1998), 326-332. Zbl 0913.20014, MR 1643118 |
| Reference:
|
[16] SHI, WUJIE-WENZE YANG: A new characterization of A5 and the finite groups in which every non-identity element has prime order.J. Southwest Teachers College 9 (1984), 36-40. (Chinese) |
| Reference:
|
[17] SHI, WUJIE: The quantitative structure of groups and related topics.In: Group Theory in China. Dedicated to Hsio-Fu Tuan on the Occasion of His 82nd Birthday (Zhe-Xian Wan, Sheng-Ming Shi, eds.), Kluwer Academic Publishers. Math. Appl., Dordrecht, 1996, pp. 163-181. MR 1447204 |
| Reference:
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[18] SHI, WUJIE-YANG C.: A class of special finite groups.Chinese Sci. Bull. 37 (1992), 252-253. |
| Reference:
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[19] SHI, WUJIE: A class of special minimal normal subgroups.J. Southwest Teachers College 9 (1984), 9-13. |
| Reference:
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[20] WANG JING: A special class of normal subgroups.J. Chengdu Univ. Sci. Tech. 4 (1987), 115-119. Zbl 0671.20022, MR 1028900 |
| . |
