Intermediately fully invariant subgroups of abelian groups

2017 ◽  
Vol 58 (5) ◽  
pp. 907-914 ◽  
Author(s):  
A. R. Chekhlov
Keyword(s):  
Abelian Groups ◽  
Fully Invariant Subgroups

scholarly journals On fully invariant subgroups of primary abelian groups.

1976 ◽  
Vol 22 (3) ◽  
pp. 281-284 ◽  
Author(s):  
Ronald C. Linton
Keyword(s):  
Abelian Groups ◽  
Fully Invariant Subgroups

scholarly journals STRONGLY INVARIANT SUBGROUPS

2014 ◽  
Vol 57 (2) ◽  
pp. 431-443 ◽  
Author(s):  
GRIGORE CĂLUGĂREANU
Keyword(s):  
Abelian Groups ◽  
Fully Invariant Subgroups ◽  
Special Case

AbstractAs a special case of fully invariant subgroups, strongly invariant subgroups are introduced and studied for Abelian groups.

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.

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