Results 21 to 30 of about 1,458,495 (316)

Finite $2$-groups of class $2$ with a specific automorphism group [PDF]

open access: yesInternational Journal of Group Theory, 2017
‎‎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]

open access: yesPacific Journal of Mathematics, 1966
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

A class of c-groups [PDF]

open access: yesJournal of the Australian Mathematical Society, 1969
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 $E_8$

open access: yesForum of Mathematics, Sigma, 2021
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

open access: yesJournal of Function Spaces, 2023
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]

open access: yes, 2010
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

open access: yesМоделирование и анализ информационных систем, 2013
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

open access: yesSciPost Physics, 2022
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

Distribution of Class Groups [PDF]

open access: yes, 2022
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  

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