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Some properties of the finite Frobenius groups | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 6، دوره 4، شماره 1، 2023، صفحه 57-61 اصل مقاله (345.21 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2022.21224.1080 | ||
| نویسنده | ||
| Mohammadreza Darafsheh* | ||
| College of Science, University of Tehran, Iran | ||
| چکیده | ||
| The Frobenius group was defined more than 120 years ago and has been the center of interest for researchers in the field of group theory. This group has two parts, complement and kernel. Proving that the kernel is a normal subgroup has been a challenging problem and several attempts have been done to prove it. In this paper we prove some character theory properties of finite Frobenius groups and also give proofs of normality of the kernel in special cases. | ||
| کلیدواژهها | ||
| Frobenius group؛ Frobenius complement؛ Frobenius kernel؛ Character؛ Permutation character | ||
| مراجع | ||
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[13] T. C. Tao, A Fourier-analytic proof of Frobenius’ theorem. https://terrytao.wordpress.com/2013/05/ 24/a-fourier-analytic-proof-of-frobeniuss-theorem/, 2013. | ||
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