Results 11 to 20 of about 1,434,420 (325)

Extensions of Finite Quantum Groups by Finite Groups [PDF]

open access: yesTransformation Groups, 2008
We give a necessary and sufficient condition for two Hopf algebras presented as central extensions to be isomorphic, in a suitable setting. We then study the question of isomorphism between the Hopf algebras constructed in 0707.0070v1 as quantum subgroups of quantum groups at roots of 1.
Andruskiewitsch, N., García, G. A.
openaire   +3 more sources

On commutativity and finiteness in groups [PDF]

open access: yesBulletin of the Brazilian Mathematical Society, New Series, 2009
22 ...
Oliveira, Ricardo N., Sidki, Said N.
openaire   +2 more sources

Study of Groups with basic property [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2012
The purpose of this paper is to study the concept of dependence , independence and the basis of some algebraic structure and give the definition of a finite group with basic property and study some of its basic properties .
Dunia Alawi Jarwan
doaj   +1 more source

Essential dimension and pro-finite group schemes

open access: yes, 2021
A. Vistoli observed that, if Grothendieck's section conjecture is true and $X$ is a smooth hyperbolic curve over a field finitely generated over $\mathbb{Q}$, then $\underline{\pi}_{1}(X)$ should somehow have essential dimension $1$.
Bresciani, Giulio
core   +1 more source

Some criteria for solvability and supersolvability [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
Denote by $ G $ a finite group, by  $ {\rm hsn}(G) $ the harmonic mean Sylow number (eliminating the Sylow numbers that are one) in $G$ and by    $ {\rm gsn}(G) $ the geometric mean Sylow number (eliminating the Sylow numbers that are one) in $G$.
Zohreh Habibi, Masoomeh Hezarjaribi
doaj   +1 more source

On the σ-Length of Maximal Subgroups of Finite σ-Soluble Groups

open access: yesMathematics, 2020
Let σ={σi:i∈I} be a partition of the set P of all prime numbers and let G be a finite group. We say that G is σ-primary if all the prime factors of |G| belong to the same member of σ. G is said to be σ-soluble if every chief factor of G is σ-primary, and
Abd El-Rahman Heliel   +2 more
doaj   +1 more source

Boolean Lattices of $n$-multiply $\omega\sigma$-fibered Fitting Classes

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2022
Let N be the set of all natural numbers. Consider all definitions and results taking into account the partitioning of the area for determining satellites and directions.
O.V. Kamozina
doaj   +1 more source

ENUMERATING FINITE GROUPS

open access: yesThe Quarterly Journal of Mathematics, 1987
This paper deals with the problem of enumerating the number f(n) of isomorphism types of groups of order n. There are three results which give upper bounds for f(n). The first bound holds for arbitrary groups, the second one deals with solvable groups, while the third one applies to groups with abelian Sylow subgroups.
Mciver, A, Neumann, P
openaire   +2 more sources

Bases in finite groups of small order

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
A subset $B$ of a group $G$ is called a basis of $G$ if each element $g\in G$ can be written as $g=ab$ for some elements $a,b\in B$. The smallest cardinality $|B|$ of a basis $B\subseteq G$ is called the basis size of $G$ and is denoted by $r[G]$.
T.O. Banakh, V.M. Gavrylkiv
doaj   +1 more source

Gauge-Invariant Renormalization Group at Finite Temperature [PDF]

open access: yes, 1996
We propose a gauge-invariant version of Wilson Renormalization Group for thermal field theories in real time. The application to the computation of the thermal masses of the gauge bosons in an SU(N) Yang-Mills theory is discussed.Comment: 23 pages ...
Baker   +49 more
core   +3 more sources

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