Secrets of Frobenius Group

Document Type : Original Paper


School of mathematics, statistics and computer science, College of Science, University of Theran, Tehran, Iran


Abstract: The class of Frobenius groups is the important class of finite

groups. They appear in both the theory of abstract groups as

well as permutation groups and have applications. In this paper

we have some important properties of Frobenius groups and

classify a class of Frobenius groups called ℚ-groups.


Main Subjects

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[5] W. Feit, On the structure of Forbenious group, Canad. J. Math., 9 (1957) 587-596.
[6] F. G. Frobeniiuo, uber auflosbare Gruppen IV, S’ber. Akad. Wiss. Berlin (1901), 1216 – 1230 ; Ges,Abh. III, 189-203.[7] R. Gow, Groups whose characters are rational-valued, J. Alg. 40, 280-299 (1976).[8] D. S. Passman, Permutation groups, W. A. Benjamin, Inc., New York, 1968.
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Volume 12, Issue 1
April 2022
Pages 62-70
  • Receive Date: 22 October 2021
  • Revise Date: 10 April 2022
  • Accept Date: 14 December 2021
  • First Publish Date: 03 March 2022