On the Suzuki and Conway groups
نویسندگان
چکیده
منابع مشابه
Suzuki 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}.
متن کاملOn the simple groups of Suzuki and Ree
We develop a new and uniform approach to the three families of simple groups of Lie type discovered by Suzuki and Ree, without using Lie algebras. A novel type of algebraic structure is defined, whose automorphism groups are the groups in question. This leads to elementary proofs of the group orders and simplicity, as well as much information on subgroup structure and geometry.
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 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 کاملExponential Sums, Ree Groups and Suzuki Groups: Conjectures
ISSN: 1058-6458 (Print) 1944-950X (Online) Journal homepage: http://www.tandfonline.com/loi/uexm20 Exponential Sums, Ree Groups and Suzuki Groups: Conjectures Nicholas M. Katz To cite this article: Nicholas M. Katz (2017): Exponential Sums, Ree Groups and Suzuki Groups: Conjectures, Experimental Mathematics, DOI: 10.1080/10586458.2017.1334246 To link to this article: http://dx.doi.org/10.1080/1...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1970
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1970-12572-1