A characterization of the Suzuki groups
نویسندگان
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 کاملA Characterization of the Suzuki Groups by Order and the Largest Elements Order
One of the important problems in group theory is characterization of a group by a given property, that is, to prove there exist only one group with a given property. Let be a finite group. We denote by the largest order of elements of . In this paper, we prove that some Suzuki groups are characterizable by order and the largest order of elements. In fact, we prove that if is a group with an...
متن کاملa 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 کاملA new approach to the Suzuki groups
There are many constructions of the Suzuki groups in the literature (see for example Suzuki’s original paper [3], as well as [1, 2, 4]), and one needs to make a strong case to justify publishing another. Yet I believe the construction below is sufficiently new and sufficiently elementary that in time it will come to be regarded as the standard construction. First we set up the symplectic geomet...
متن کاملSuzuki Groups and Surfaces
We show that the least genus of any compact Riemann surface S, admitting a simple Suzuki group G = Sz(^) as a group of automorphisms, is equal to 1 +|G|/40. We compute the number of such surfaces S as the number of normal subgroups of the triangle group A(2,4,5) with quotient-group G, and investigate the associated regular maps of type {4,5}.
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1968
ISSN: 0019-2082
DOI: 10.1215/ijm/1256054321