Results 221 to 230 of about 276,781 (279)

On Hodge polynomials for nonalgebraic complex manifolds. [PDF]

open access: yesProc Natl Acad Sci U S A
Katzarkov L   +3 more
europepmc   +1 more source

Finite Abelian Groups

Algebra, 2018
Recent work, apparently beginning with a paper by Welch in 1966, has shown that character expansions on finite Abelian groups can be fast computed in a way that makes the FFT and FWT special cases. It is shown here how the computational saving depends on
T. W. Cairns
semanticscholar   +3 more sources

On the lengths of group algebras of finite abelian groups in the modular case

, 2021
In this paper, we address the question of finding the length of group algebras of finite abelian groups in the case when the characteristic of the ground field divides the order of the group. We evaluate the exact length for an arbitrary abelian [Formula:
A. Guterman, M. Khrystik, O. Markova
semanticscholar   +1 more source

FORCING A FINITE GROUP TO BE ABELIAN

Mathematical Proceedings of the Royal Irish Academy, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deaconescu, M.   +2 more
openaire   +2 more sources

Asymptotic Metric Behavior of Random Cayley Graphs of Finite Abelian Groups

Comb., 2016
Using methods of Marklof and Strömbergsson we establish several limit laws for metric parameters of random Cayley graphs of finite abelian groups with respect to a randomly chosen set of generators of a fixed size. Doing so we settle a conjecture of Amir
Uri Shapira, Reut Zuck
semanticscholar   +1 more source

Finite abelian group cohesion

Israel Journal of Mathematics, 1981
Let \(G\) be a finite Abelian group with \(\#G=p\). For \(A,B\subset G\) let \(m(x,A,B)=\#\{(a,b): a+b=x,\;a\in A,\;b\in B\}\). For \(E\subset G\) let \(E'\) denote its complement. The authors prove the following results: \[ \begin{multlined}\sum_{c\in G} |m(x,E,E)+m(x,E',E')-m(x,E,E')-m(x,E',E)|^2= \\ \sum_{c\in G} |m(x,E,-E)+m(x,E',-E')-m(x,E,-E')-m ...
Erdős, Paul, Smith, B.
openaire   +2 more sources

AUTOMORPHISMS OF FINITE ABELIAN GROUPS

Mathematical Proceedings of the Royal Irish Academy, 2010
Summary: We first use elementary methods to analyse the structure of \(\Aut\,G\) where \(G\) is a finite Abelian \(p\)-group with two distinct cyclic factors. This leads us in a natural way to a simple presentation for \(\Aut\,G\). We then generalise these results to the case where \(G\) is an Abelian \(p\)-group with no repeated direct factors.
Bidwell, J. N. S., Curran, M. J.
openaire   +1 more source

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