Results 121 to 130 of about 118,465 (290)
Given a graph \(\Gamma=(V,E)\), the graph group \(F\langle\Gamma\rangle\) is the group with presentation \(\langle V\mid [E]\rangle\), where \([E]\) denotes the set of commutators \(\{[a,b]\mid\{a,b\}\in E\}\). The graph group \(F\langle\Gamma\rangle\) is modeled to be a group analog of the graph algebra K(\(\Gamma)\) generated as a free associative ...
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Palindromic automorphisms of free groups
19 ...
Bardakov, Valeriy G. +2 more
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A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
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Upper bounds of orders of automorphism groups of leafless metric graphs
We prove a tropical analogue of the theorem of Hurwitz: A leafless metric graph of genus [Formula: see text] has at most 12 automorphisms when g = 2 and [Formula: see text] automorphisms when [Formula: see text].
Yusuke Nakamura, JuAe Song
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Automorphism Properties and Classification of Adinkras
Adinkras are graphical tools for studying off-shell representations of supersymmetry. In this paper we efficiently classify the automorphism groups of Adinkras relative to a set of local parameters.
B. L. Douglas +3 more
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Free subsemigroups in automorphism group of a polynomial ring of two variables over number fields
Sufficient conditions under which the semigroup generated by two automorphism of the polynomial ring in two variables over a number field $P$ will be free are given.
Zh. I. Dovghey, M. I. Sumaryuk
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Rigidity for von Neumann algebras of graph product groups. I. Structure of automorphisms [PDF]
Ionuţ Chifan +2 more
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Topological rigidity of automorphism systems
This paper studies the automorphism actions of countable discrete groups on the étale equivalence relations on compact metric spaces. First, the notion of continuous strong orbit equivalence for automorphism systems is introduced and it is proved that ...
QIANG Xiangqi
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Automorphisms of Some Magmas of Order $k+k^2$
This paper is devoted to the study of automorphisms of finite magmas and to the representation of the symmetric permutation group $ S_k $ and some of its subgroups by automorphism groups of finite magmas.
A.V. Litavrin
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Automorphisms of K-groups I [PDF]
This work is a continuation of Automorphisms of $K$-groups I, P. Flavell, preprint. The main object of study is a finite $K$-group $G$ that admits an elementary abelian group $A$ acting coprimely. For certain group theoretic properties $\mathcal P$, we study the $AC_{G}(A)$-invariant $\mathcal P$-subgroups of $G$.
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