a characterization of the small suzuki groups by the number of the same element order
نویسندگان
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.
منابع مشابه
A Characterization of the Small Suzuki Groups by the Number of the Same Element Order
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 Suzuk...
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عنوان ژورنال:
journal of sciences, islamic republic of iranناشر: university of tehran
ISSN 1016-1104
دوره 26
شماره 2 2015
کلمات کلیدی
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