ON THE 2-NILPOTENT MULTIPLIER OF FINITE p-GROUPS
نویسندگان
چکیده
منابع مشابه
NILPOTENT p-LOCAL FINITE GROUPS
In this paper we provide characterizations of p-nilpotency for fusion systems and p-local finite groups that are inspired by known result for finite groups. In particular, we generalize criteria by Atiyah, Brunetti, Frobenius, Quillen, Stammbach and Tate.
متن کاملon the order of the schur multiplier of a pair of finite p-groups ii
let $g$ be a finite $p$-group and $n$ be a normal subgroup of $g$ with $|n|=p^n$ and $|g/n|=p^m$. a result of ellis (1998) shows that the order of the schur multiplier of such a pair $(g,n)$ of finite $p$-groups is bounded by $ p^{frac{1}{2}n(2m+n-1)}$ and hence it is equal to $ p^{frac{1}{2}n(2m+n-1)-t}$ for some non-negative integer $t$. recently, the authors have characterized...
متن کاملEnumerating Finite Class-2-nilpotent Groups on 2 Generators
We compute the numbers g(n, 2, 2) of nilpotent groups of order n, of class at most 2 generated by at most 2 generators, by giving an explicit formula for the Dirichlet generating function P
متن کاملon the order of the schur multiplier of a pair of finite $p$-groups ii
let $g$ be a finite $p$-group and $n$ be a normal subgroup of $g$ with $|n|=p^n$ and $|g/n|=p^m$. a result of ellis (1998) shows that the order of the schur multiplier of such a pair $(g,n)$ of finite $p$-groups is bounded by $ p^{frac{1}{2}n(2m+n-1)}$ and hence it is equal to $ p^{frac{1}{2}n(2m+n-1)-t}$ for some non-negative integer $t$. recently, the authors have characterized...
متن کاملOn the Conjugacy Separability in the Class of Finite P -groups of Finitely Generated Nilpotent Groups
It is proved that for any prime p a finitely generated nilpotent group is conjugacy separable in the class of finite p-groups if and only if the tor-sion subgroup of it is a finite p-group and the quotient group by the torsion subgroup is abelian. 1. Let K be a class of groups. A group G is called residual K (or K-residual) if for each non-unit element a ∈ G there is a homomorphism ϕ of G onto ...
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: Glasgow Mathematical Journal
سال: 2014
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089514000263