@article {
author = {Parvizi Mosaed, H. and Iranmanesh, A. and Tehranian, A.},
title = {A Characterization of the Small Suzuki Groups by the Number of the Same Element Order},
journal = {Journal of Sciences, Islamic Republic of Iran},
volume = {26},
number = {2},
pages = {171-177},
year = {2015},
publisher = {University of Tehran},
issn = {1016-1104},
eissn = {2345-6914},
doi = {},
abstract = {Suppose that is a finite group. Then the set of all prime divisors of is denoted by and the set of element orders of is denoted by . Suppose that . Then the number of elements of order in is denoted by and the sizes of the set of elements with the same order is denoted by ; that is, . In this paper, we prove that if is a group such that , where , then . Here denotes the family of Suzuki simple groups, , . This proves that the second and third member of the family of Suzuki simple groups are characterizable by the set of the number of the same element order.},
keywords = {Element order,Sylow subgroup,Simple -group,Suzuki group},
url = {https://jsciences.ut.ac.ir/article_54649.html},
eprint = {https://jsciences.ut.ac.ir/article_54649_b9016d7ddd6b44de3979a6084b8ac13e.pdf}
}