The Generalized Commutativity Degree of 4-Latters Symmetric Group S<sub>4</sub>
نویسندگان
چکیده
منابع مشابه
A characterization of the symmetric group of prime degree
Let $G$ be a finite group and $Gamma(G)$ the prime graph of $G$. Recently people have been using prime graphs to study simple groups. Naturally we pose a question: can we use prime graphs to study almost simple groups or non-simple groups? In this paper some results in this respect are obtained and as follows: $Gcong S_p$ if and only if $|G|=|S_p|$ and $Gamma(G)=Gamma(S_p)$, whe...
متن کاملa characterization of the symmetric group of prime degree
let $g$ be a finite group and $gamma(g)$ the prime graph of $g$. recently people have been using prime graphs to study simple groups. naturally we pose a question: can we use prime graphs to study almost simple groups or non-simple groups? in this paper some results in this respect are obtained and as follows: $gcong s_p$ if and only if $|g|=|s_p|$ and $gamma(g)=gamma(s_p)$, whe...
متن کاملGeneralized Characters of the Symmetric Group
Normalized irreducible characters of the symmetric group S(n) can be understood as zonal spherical functions of the Gelfand pair (S(n)×S(n),diag S(n)). They form an orthogonal basis in the space of the functions on the group S(n) invariant with respect to conjugations by S(n). In this paper we consider a different Gelfand pair connected with the symmetric group, that is an “unbalanced” Gelfand ...
متن کاملcommutativity degree of zp ≀ zpn
for a nite group g the commutativity degree denote by d(g) and de nd: d(g) = jf(x; y)jx; y 2 g; xy = yxgj jgj2 : in [2] authors found commutativity degree for some groups,in this paper we nd commuta- tivity degree for a class of groups that have high nilpontencies.
متن کاملCommutativity degree of $mathbb{Z}_p$≀$mathbb{Z}_{p^n}
For a nite group G the commutativity degree denote by d(G) and dend:$$d(G) =frac{|{(x; y)|x, yin G,xy = yx}|}{|G|^2}.$$ In [2] authors found commutativity degree for some groups,in this paper we nd commutativity degree for a class of groups that have high nilpontencies.
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: Pure Mathematics
سال: 2017
ISSN: 2160-7583,2160-7605
DOI: 10.12677/pm.2017.73021