A characterization of $$A_{5}$$ A 5 by its Same-order type
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چکیده
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...
متن کاملCharacterization of $mathrm{PSL}(5,q)$ by its Order and One Conjugacy Class Size
Let $p=(q^4+q^3+q^2+q+1)/(5,q-1)$ be a prime number, where $q$ is a prime power. In this paper, we will show $Gcong mathrm{PSL}(5,q)$ if and only if $|G|=|mathrm{PSL}(5,q)|$, and $G$ has a conjugacy class size $frac{| mathrm{PSL}(5,q)|}{p}$. Further, the validity of a conjecture of J. G. Thompson is generalized to the groups under consideration by a new way.
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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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ژورنال
عنوان ژورنال: Monatshefte für Mathematik
سال: 2016
ISSN: 0026-9255,1436-5081
DOI: 10.1007/s00605-016-0950-9