|
|
|
|
A Characterization of the Small Suzuki Groups by the Number of the Same Element Order
|
|
|
|
|
|
|
|
نویسنده
|
Parvizi Mosaed H. ,Tehranian A. ,Iranmanesh A.
|
|
منبع
|
journal of sciences islamic republic of iran - 2015 - دوره : 26 - شماره : 2 - صفحه:171 -177
|
|
چکیده
|
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.
|
|
کلیدواژه
|
Element order ,Sylow subgroup ,Simple -group ,Suzuki group
|
|
آدرس
|
Department of Mathematics, Faculty of Basic Sciences, Science and Research Branch, Islamic Azad University, Tehran, Islamic Republic of Iran, ایران, Department of Mathematics, Faculty of Basic Sciences, Science and Research Branch, Islamic Azad University, Tehran, Islamic Republic of Iran, ایران, tarbiat modares university, ایران
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|