Abelian groups and the Weyl approach to kinematics nonlocal function-algebras

1974 ◽  
Vol 6 (1) ◽  
pp. 169
Author(s):  
Jan J. Sławianowski
Keyword(s):  
Abelian Groups ◽  
Function Algebras

Additive bases via Fourier analysis

2021 ◽  
pp. 1-12
Author(s):  
Bodan Arsovski
Keyword(s):  
Abelian Group ◽  
Fourier Analysis ◽  
Vector Space ◽  
Abelian Groups ◽  
Finite Abelian Group ◽  
Probabilistic Method ◽  
Additive Basis ◽  
Generating Sets

Abstract Extending a result by Alon, Linial, and Meshulam to abelian groups, we prove that if G is a finite abelian group of exponent m and S is a sequence of elements of G such that any subsequence of S consisting of at least $$|S| - m\ln |G|$$ elements generates G, then S is an additive basis of G . We also prove that the additive span of any l generating sets of G contains a coset of a subgroup of size at least $$|G{|^{1 - c{ \in ^l}}}$$ for certain c=c(m) and $$ \in = \in (m) < 1$$ ; we use the probabilistic method to give sharper values of c(m) and $$ \in (m)$$ in the case when G is a vector space; and we give new proofs of related known results.

Finite non-Abelian groups with complemented non-Abelian subgroups

1978 ◽  
Vol 29 (6) ◽  
pp. 541-544 ◽  
Author(s):  
P. P. Baryshovets
Keyword(s):  
Abelian Groups ◽  
Abelian Subgroups

scholarly journals Computing the number of symmetric colorings of elementary Abelian groups

2021 ◽  
Vol 60 (2) ◽  
pp. 2075-2081
Author(s):  
Yuliya Zelenyuk
Keyword(s):  
Abelian Groups
Sign in / Sign up

Export Citation Format

Share Document