Results 61 to 70 of about 173,358,856 (223)
Automorphisms of the Dihedral Groups [PDF]
Proceedings of the National Academy of Sciences, 1942 Not ...
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Line Graphs of Multigraphs and the Forbidden Graph E 6
Journal of Graph Theory, EarlyView.ABSTRACT The line graph Γ of a multigraph Δ is the graph whose vertices are the edges of Δ, where two such edges are adjacent if and only if they meet in a single vertex of Δ. We provide several characterizations of such line graphs and in particular show that a graph is a line graph if and only if it does not contain one of the 32 graphs, all of which
Hans Cuypers
wiley +1 more source
Automorphism groups of 2-groups
Journal of Algebra, 2006 It is conjectured that \(|G|\mid|\Aut(G)|\) for every nonabelian \(p\)-group \(G\). In this paper the following results are proven. Theorem. For every \(s\in\mathbb{N}\) there exists \(o(r,s)\in\mathbb{N}\) such that \(2^s\mid|G|\mid|\Aut(G)|\) for all \(2\)-groups \(G\) of coclass \(r\) and order at least \(o(r,s)\). -- Corollary.
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A Boothby–Wang Construction in Generalized Contact Geometry
Mathematische Nachrichten, EarlyView.ABSTRACT We establish a generalized analogue of the Boothby–Wang theorem in generalized contact geometry, along with related results. We present a general method for constructing examples of generalized contact structures that are not of Poon–Wade type, and even examples that fail to be generalized contact structures.
Debjit Pal
wiley +1 more source
1-Designs from the group PSL2(59) and their automorphism groups [PDF]
Mathematics Interdisciplinary Research, 2018 In this paper, we consider the projective special linear group PSL2(59) and construct some 1-designs by applying the Key-Moori method on PSL2(59). Moreover, we obtain parameters of these designs and their automorphism groups.
Reza Kahkeshani
doaj +1 more source
Possible Groups of Automorphisms [PDF]
Proceedings of the National Academy of Sciences, 1943 Not ...
openaire +2 more sources
Graded Differential Polynomial Rings
Mathematische Nachrichten, EarlyView.ABSTRACT We study differential polynomial rings R[t;δ]$R[t;\delta]$ over Γ$\Gamma$‐graded rings, where Γ$\Gamma$ is an arbitrary group. We show that R[t;δ]$R[t;\delta]$ admits a Γ$\Gamma$‐grading compatible with that of R$R$ if and only if δ$\delta$ is a γ$\gamma$‐derivation for some γ∈CΓ(ΓR)$\gamma \in C_\Gamma (\Gamma _R)$, and that this grading is ...
Yassine Ait Mohamed
wiley +1 more source
The maximal subgroups of the classical groups in dimension 13, 14 and 15 [PDF]
, 2015 One might easily argue that the Classification of Finite Simple Groups is one of the most important theorems of group theory. Given that any finite group can be deconstructed into its simple composition factors, it is of great importance to have a ...
Anna Katharina Schröder +1 more
core +1 more source
An uncomplicated introduction to representational measurement theory
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Measurement in psychology is often associated with psychometrics. Despite the theoretical insights afforded by psychometric methods, they represent only a restricted range of possible measurement approaches in the social sciences. Representational measurement theory (RMT) generalizes the logic of measurement developed in the physical sciences ...
Vithor Rosa Franco +3 more
wiley +1 more source
Algebraic reflexivity of isometry groups and automorphism groups of some operator structures [PDF]
, 2013 We establish the algebraic re exivity of three isometry groups of operator structures: The group of all surjective isometries on the unitary group, the group of all surjective isometries on the set of all positive invertible operators equipped with ...
Botelho, Fernanda +2 more
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