منابع مشابه
Representations of the Gupta-sidki Group
If p is an odd prime, then the Gupta-Sidki group Gp is an infinite 2-generated p-group. It is defined in a recursive manner as a particular subgroup of the automorphism group of a regular tree of degree p. In this note, we make two observations concerning the irreducible representations of the group algebra K[Gp] with K an algebraically closed field. First, when charK 6= p, we obtain a lower bo...
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We use the geometry of the Farey graph to give an alternative proof of the fact that if A ∈ GL2Z and if GA = Z2 A Z is generated by two elements, then there is a single Nielsen equivalence class of 2-element generating sets for GA unless A is conjugate to ± ( 2 1 1 1 ) , in which case there
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Let $G$ be a non-abelian group and let $Gamma(G)$ be the non-commuting graph of $G$. In this paper we define an equivalence relation $sim$ on the set of $V(Gamma(G))=Gsetminus Z(G)$ by taking $xsim y$ if and only if $N(x)=N(y)$, where $ N(x)={uin G | x textrm{ and } u textrm{ are adjacent in }Gamma(G)}$ is the open neighborhood of $x$ in $Gamma(G)$. We introduce a new graph determined ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2017
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/13612