Results 21 to 30 of about 1,458,495 (316)
Finite $2$-groups of class $2$ with a specific automorphism group [PDF]
In this paper we determine all finite $2$-groups of class $2$ in which every automorphism of order $2$ leaving the Frattini subgroup elementwise fixed is inner.
Marzieh Ahmadi, S. Mohsen Ghoraishi
doaj +1 more source
Every abelian group is a class group [PDF]
Let T be the set of minimal primes of a Krull domain A. If S is a subset of T9 we form B = n AP for PeS and study the relation of the class group of B to that of A. We find that the class group of B is always a homomorphic image of that of A. We use this type of construction to obtain a Krull domain with specified class group and then alter such a ...
openaire +2 more sources
In a paper by Polimeni [3] the concept of a c-group was introduced. A group is called a c-group if and only if every subnormal subgroup is characteristic. His paper claims to characterize finite soluble c-groups, which we will call fsc-groups. There are some errors in this paper; see the forthcoming review by K. W. Gruenberg in Mathematical Reviews.
Cimana, A. R., Gagen, T. M.
openaire +2 more sources
A class of continuous non-associative algebras arising from algebraic groups including $E_8$
We give a construction that takes a simple linear algebraic group G over a field and produces a commutative, unital, and simple non-associative algebra A over that field.
Maurice Chayet, Skip Garibaldi
doaj +1 more source
Ulam Stability of Jensen Functional Inequality on a Class of Noncommutative Groups
In the paper, we introduce new ρ-functional inequalities related to the Jensen functional equation and some properties. The Hyers-Ulam stability of functional inequalities is proved.
Gang Lu +3 more
doaj +1 more source
$p$-groups with maximal elementary abelian subgroups of rank $2$ [PDF]
Let p be an odd prime number and G a finite p-group. We prove that if the rank of G is greater than p, then G has no maximal elementary abelian subgroup of rank 2.
Mazza, Nadia +3 more
core +1 more source
On the Root-Class Residuallity of Generalized Free Products
Let K be a root class of groups. It is proved that a free product of any family of residually K groups with one amalgamated subgroup, which is a retract in all free factors, is residually K.
E. A. Tumanova
doaj +1 more source
Global form of flavor symmetry groups in 4d N=2 theories of class S
We provide a systematic method to deduce the global form of flavor symmetry groups in 4d N=2 theories obtained by compactifying 6d N=(2,0) superconformal field theories (SCFTs) on a Riemann surface carrying regular punctures and possibly outer ...
Lakshya Bhardwaj
doaj +1 more source
The geometric meaning of Zhelobenko operators [PDF]
Peer ...
Sevastyanov, A.
core +1 more source
Distribution of Class Groups [PDF]
One goal of this thesis is to prove theorems that elucidate the Cohen-Lenstra-Martinet conjectures for the distributions of class groups of number fields, and further the understanding of their implications.
Wang, Weitong
core

