Results 121 to 130 of about 12,672,108 (295)

Conductor of an abelian group

open access: yesJournal of Algebra, 2009
AbstractLetE(G)=End(G)/N(End(G)). Our goal in this paper is to study direct sum decompositions of certain reduced torsion-free finite rank (rtffr) abelian groups by introducing an ideal τ of E(G) called a conductor of G. This ideal induces a natural ring decomposition E(G)=E(G)(τ)×E(G)τ and a natural direct sum decomposition G=G(τ)⊕Gτ for an rtffr ...
openaire   +2 more sources

The Automorphism Group of Non-Abelian Group of Order p^4

open access: yesپژوهش‌های ریاضی, 2019
Let G be a finite non-abelian group of order p^4 . In this paper we give a structure theorem for the Sylow p-subgroup, Aut_p(G)  , of the automorphism group of G../files/site1/files/52/8 ...
Reza Orfi
doaj  

Colimits of abelian groups

open access: yesJournal of Algebra, 2015
In this paper we study the colimit N_2(G) of abelian subgroups of a discrete group G. This group is the fundamental group of a subspace B(2,G) of the classifying space BG. We describe N_2(G) for certain groups, and apply our results to study the homotopy type of the space B(2,G). We give a list of classes of groups for which B(2,G) is not an Eilenberg--
openaire   +3 more sources

On Almost Everywhere K-Additive Set-Valued Maps

open access: yesAnnales Mathematicae Silesianae
Let X be an Abelian group, Y be a commutative monoid, K ⊂Y be a submonoid and F : X → 2Y \ {∅} be a set-valued map. Under some additional assumptions on ideals ℐ1 in X and ℐ2 in X2, we prove that if F is ℐ2-almost everywhere K-additive, then there ...
Jabłońska Eliza
doaj   +1 more source

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