Quasi-Simple Finite Groups of Essential Dimension 3
نویسندگان
چکیده
We classify quasi-simple finite groups of essential dimension 3.
منابع مشابه
Classification of finite simple groups whose Sylow 3-subgroups are of order 9
In this paper, without using the classification of finite simple groups, we determine the structure of finite simple groups whose Sylow 3-subgroups are of the order 9. More precisely, we classify finite simple groups whose Sylow 3-subgroups are elementary abelian of order 9.
متن کاملquasirecognition by prime graph of finite simple groups ${}^2d_n(3)$
let $g$ be a finite group. in [ghasemabadi et al., characterizations of the simple group ${}^2d_n(3)$ by prime graph and spectrum, monatsh math., 2011] it is proved that if $n$ is odd, then ${}^2d _n(3)$ is recognizable by prime graph and also by element orders. in this paper we prove that if $n$ is even, then $d={}^2d_{n}(3)$ is quasirecognizable by prime graph, i.e...
متن کاملEssential Dimension of Finite Groups in Prime Characteristic
Let F be a eld of characteristic p > 0 and G be a smooth nite algebraic group over F . We compute the essential dimension edF (G; p) of G at p. That is, we show that edF (G; p) = { 1, if p divides |G|, and 0, otherwise.
متن کاملSimple Deformations of Finite Groups 3 2
We show that certain twisting deformations of a family of supersolvable groups are simple as Hopf algebras. These groups are direct products of two generalized dihedral groups. Examples of this construction arise in dimensions 60 and pq, for prime numbers p, q with q|p − 1. We also show that certain twisting deformation of the symmetric group is simple as a Hopf algebra. On the other hand, we p...
متن کاملA Simple Classification of Finite Groups of Order p2q2
Suppose G is a group of order p^2q^2 where p>q are prime numbers and suppose P and Q are Sylow p-subgroups and Sylow q-subgroups of G, respectively. In this paper, we show that up to isomorphism, there are four groups of order p^2q^2 when Q and P are cyclic, three groups when Q is a cyclic and P is an elementary ablian group, p^2+3p/2+7 groups when Q is an elementary ablian group an...
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: Journal of Mathematical Sciences
سال: 2021
ISSN: ['1072-3374', '1573-8795']
DOI: https://doi.org/10.1007/s10958-021-05527-8