abelian theorem
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Author(s):  
Maëva Biret ◽  
Michel Broniatowski ◽  
Zansheng Cao

2014 ◽  
Vol 13 (06) ◽  
pp. 1450008
Author(s):  
Zvonimir Janko

A finite p-group G is q-self dual if every quotient of G is isomorphic to a subgroup of G. Here, we determine finite 2-groups G all of whose subgroups are q-self dual (Theorem 3) and in case p > 2 we get a classification of such groups only under the additional assumptions that Ω1(G) is abelian (Theorem 4).


2012 ◽  
Vol 1 (4) ◽  
pp. 19-23
Author(s):  
A. S. Gudadhe A. S. Gudadhe
Keyword(s):  

10.37236/1894 ◽  
2005 ◽  
Vol 11 (2) ◽  
Author(s):  
Philippe Flajolet ◽  
Stefan Gerhold ◽  
Bruno Salvy

We establish that the sequences formed by logarithms and by "fractional" powers of integers, as well as the sequence of prime numbers, are non-holonomic, thereby answering three open problems of Gerhold [El. J. Comb. 11 (2004), R87]. Our proofs depend on basic complex analysis, namely a conjunction of the Structure Theorem for singularities of solutions to linear differential equations and of an Abelian theorem. A brief discussion is offered regarding the scope of singularity-based methods and several naturally occurring sequences are proved to be non-holonomic.


1992 ◽  
Vol 46 (2) ◽  
pp. 347-352 ◽  
Author(s):  
Dennis Nemzer

The one-sided Laplace transform is defined on a space of generalised functions called transformable Boehmians. The space of one-sided Laplace transformable distributions is shown to be a proper subspace of transformable Boehmians. Some basic properties of the Laplace transform are investigated. An inversion formula and an Abelian theorem of the final type are obtained.


1990 ◽  
Vol 13 (4) ◽  
pp. 677-685 ◽  
Author(s):  
Bogoljub Stanković

First, a definition is given of the Stieltjes transform of distributions which contains some well-known. Then, a structural theorem for distributions havingS-asymptotic is proved. This makes possible to prove two theorems of the Abelian type valued for Stieltjes transforms of distributions given in different ways.


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