Results 11 to 20 of about 1,434,420 (325)
Extensions of Finite Quantum Groups by Finite Groups [PDF]
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.
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On commutativity and finiteness in groups [PDF]
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Oliveira, Ricardo N., Sidki, Said N.
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Study of Groups with basic property [PDF]
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
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Essential dimension and pro-finite group schemes
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
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Some criteria for solvability and supersolvability [PDF]
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
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On the σ-Length of Maximal Subgroups of Finite σ-Soluble Groups
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
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Boolean Lattices of $n$-multiply $\omega\sigma$-fibered Fitting Classes
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
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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
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Bases in finite groups of small order
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
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Gauge-Invariant Renormalization Group at Finite Temperature [PDF]
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
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