Results 11 to 20 of about 12,499 (158)
Localized Automorphisms and Endomorphisms
Abdelgabar Adam Hassan
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ON AUTOMORPHISMS AND ENDOMORPHISMS OF CC GROUPS
We consider the automorphisms description question for the semigroups End($G$) of a group $G$ having only cyclic centralizers (CC) of nontrivial elements. In particular, we prove that each member of the automorphism group Aut($G$) of a group $G$ from this class is uniquely determined by its action on the elements from the subgroup of inner ...
H.T. Aslanyan
semanticscholar +3 more sources
Endomorphism Algebras and Automorphism Groups of certain Complex Tori [PDF]
We study the endomorphism algebra, the automorphism group and the Hodge group of complex tori of complex tori, whose second rational cohomology group enjoys a certain Hodge property introduced by F. Campana.
Yuri G. Zarhin
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Endomorphism and automorphism graphs of finite groups [PDF]
Let $G$ be a group. The directed endomorphism graph, $\dend(G)$ of $G$ is a directed graph with vertex set $G$ and there is a directed edge from the vertex $a$ to the vertex $b$ if $a \neq b$ and there exists an endomorphism on $G$ mapping $a$ to $b$. The endomorphism graph, $\uend(G)$ is the corresponding undirected simple graph.
Ajith, Midhuna V +3 more
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On automorphism groups and endomorphism rings of abelian 𝑝-groups [PDF]
Let A A be a noncyclic abelian p p -group where p ⩾ 5 p \geqslant 5 , and let p ∞ A {p^\infty }A be the maximal divisible subgroup of A A . It is shown that A
Jutta Hausen
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Automorphism tower problem and semigroup of endomorphisms for free Burnside groups [PDF]
We have proved that the group of all inner automorphisms of the free Burnside group $B(m,n)$ is the unique normal subgroup in $Aut(B(m,n))$ among all its subgroups, which are isomorphic to free Burnside group $B(s,n)$ of some rank $s$ for all odd $n\ge1003$ and $m>1$.
Varujan Atabekyan
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Crossed Products by Semigroups of Endomorphisms and Groups of Partial Automorphisms [PDF]
AbstractWe consider a class (A; S; α) of dynamical systems, where S is an Ore semigroup and α is an action such that each αs is injective and extendible (i.e. it extends to a non-unital endomorphism of the multiplier algebra), and has range an ideal of A.
Nadia S. Larsen
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Endomorphism near-rings of 𝑝-groups generated by the automorphism and inner automorphism groups [PDF]
The purpose of this paper is to investigate the equality of the endomorphism near-rings generated by the automorphism group and inner automorphism group of a nonabelian p p -group G G . If the automorphism group of G G is not a p p -group, we find that these near-rings are different ...
Gary L. Peterson
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A Hitchhiker's Guide to Endomorphisms and Automorphisms of Cuntz Algebras
In this survey paper, the authors discuss various aspects of Cuntz algebras, concentrating primarily on endomorphisms and automorphisms. The authors nicely summarize many known results and provide an extensive list of open problems. Chapter 1 is an overview of the paper.
Valeriano Aiello +2 more
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The automorphisms and the endomorphisms of the group algebra of the unit circle [PDF]
Walter Rudin
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