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SOME PROPERTIES OF HALL SUBGROUP | ||
| Journal of University of Anbar for Pure Science | ||
| Article 12, Volume 5, Issue 3, 2011, Pages 34-38 PDF (347.62 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2011.44308 | ||
| Author | ||
| Muthana Abdul-Wahed Mahmoud* | ||
| University of Anbar - College of Education for Pure Sciences. | ||
| Abstract | ||
| In the present paper , the order and index of the normal abelian Hall subgroups have been studied through using of some functions defined on group rings . Also , some properties of homomorphism have been studied . | ||
| Keywords | ||
| finite group; Hall subgroup | ||
| References | ||
|
1- Hall M., Theory of Groups, New york , Macmillan m 1959.
2- Kurosh A. G., Theory of Groups Vol. 1 and 2, New York , Chelsea , 1958 (in Russian) .
3- Rotman J. J. Theory of groups , Bostan, Allyn and Bacon 1965 .
4- Revin D. O., A conjugacy criterion for Hall subgroups, Siberian Mathematical Journal, Vol. 51, No. 3 PP. 402 – 409 , 2010 .
5- Revin D. O. and Vdovin E. P. , On the number of classes of conjugate Hall subgroup , Journal of algebra 324, (2010) 3614 – 3652 , Novosibirsk , Russian Federation. | ||
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