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 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...
متن کاملA new method for recognising Suzuki groups
We present a new algorithm for constructive recognition of the Suzuki groups in their natural representations. The algorithm runs in Las Vegas polynomial time given a discrete logarithm oracle. An implementation is available in the Magma computer algebra system.
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 کاملnonnilpotent subsets in the suzuki groups
let $g$ be a group and $mathcal{n}$ be the class of all nilpotent groups. a subset $a$ of $g$ is said to be nonnilpotent if for any two distinct elements $a$ and $b$ in $a$, $langle a, brangle notin mathcal{n}$. if, for any other nonnilpotent subset $b$ in $g$, $|a|geq |b|$, then $a$ is said to be a maximal nonnilpotent subset and the cardinality of this subset (if it exists) is denoted by $ome...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1963
ISSN: 0019-2082
DOI: 10.1215/ijm/1255637483