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pro vyhledávání: '"Rinauro, Silvana"'
Let G be a group and f be an endomorphism of G. A subgroup H of G is called f-inert if the meet of Hf and H has finite index in the image Hf. The subgroups that are f-inert for all inner automorphisms of G are widely known and studied in the literatu
Externí odkaz:
http://arxiv.org/abs/1705.02954
A group G is a cn-group if for each subgroup H of G there exists a normal subgroup N of G such that the index of both H and N in HN is finite. The class of cn-groups contains properly the classes of core- finite groups and that of groups in which eac
Externí odkaz:
http://arxiv.org/abs/1705.02360
We show that if a group $G$ has a finite normal subgroup $L$ such that $G/L$ is hypercentral, then the index of the hypercenter of $G$ is bounded by a function of the order of $L$. This completes recent results generalizing classical theorems by R. B
Externí odkaz:
http://arxiv.org/abs/1505.06762
Publikováno v:
In Journal of Algebra 15 October 2020 560:371-382
Autor:
Dardano, Ulderico, Rinauro, Silvana
A subgroup H of a group G is called inert if for each $g\in G$ the index of $H\cap H^g$ in $H$ is finite. We give a classification of soluble-by-finite groups $G$ in which subnormal subgroups are inert in the cases where $G$ has no nontrivial torsion
Externí odkaz:
http://arxiv.org/abs/1412.2283
Autor:
Dardano, Ulderico, Rinauro, Silvana
An endomorphisms $\varphi$ of an abelian group $A$ is said inertial if each subgroup $H$ of $A$ has finite index in $H+\varphi (H)$. We study the ring of inertial endomorphisms of an abelian group. Here we obtain a satisfactory description modulo the
Externí odkaz:
http://arxiv.org/abs/1407.3093
Autor:
Dardano, Ulderico, Rinauro, Silvana
We study the group $IAut(A)$ generated by the inertial automorphisms of an abelian group $A$, that is, automorphisms $\gamma$ with the property that each subgroup $H$ of $A$ has finite index in the subgroup generated by $H$ and $H\gamma$. Clearly, $I
Externí odkaz:
http://arxiv.org/abs/1403.4193
Autor:
Dardano, Ulderico, Rinauro, Silvana
We describe inertial endomorphisms of an abelian group $A$, that is endomorphisms $\varphi$ with the property $|(\varphi(X)+X)/X|<\infty$ for each $X\le A$. They form a ring containing multiplications, the so-called finitary endomorphisms and non-tri
Externí odkaz:
http://arxiv.org/abs/1310.4625
Publikováno v:
In Journal of Algebra 15 February 2018 496:48-60
Publikováno v:
In Journal of Algebra 15 April 2016 452:279-287