Results 101 to 110 of about 6,235 (209)
Twisted conjugacy classes in nilpotent groups
Journal of Pure and Applied Algebra, 2011 8 ...
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Isotopy and equivalence of knots in 3‐manifolds
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto +4 more
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CONJUGACY CLASS SIZES IN FINITE GROUPS [PDF]
Journal of the Australian Mathematical Society, 2008 AbstractWe make several conjectures, and prove some results, pertaining to conjugacy classes of a given size in finite groups, especially in p-groups and 2-groups.
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Conjugacy Classes of Elements in the Borovik Group
Journal of Algebra, 1998 The complex Lie group \(E_8(\mathbb{C})\) has a unique conjugacy class of Lie primitive finite subgroups which are the nontrivial direct product of more than one finite simple group. The normalizer \(B\) of such a group contains \(A_5\times S_6\) with index 2 and is not a direct product. This result was obtained first by \textit{A. V. Borovik} [Algebra
Frey, Darrin D., Griess, Robert L.
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Conjugacy classes in integral symplectic groups
Linear Algebra and its Applications, 2006 Let \(\mathfrak D\) be a principal ideal domain and \(\mathfrak F\) the field of quotients. Let \(I_n\) be the identity matrix in \(M_n(\mathfrak D)\) and \(J=\left(\begin{smallmatrix} 0&I_n\\-I_n&0\end{smallmatrix}\right)\). The set of unimodular matrices \(X\) in \(M_{2n}(\mathfrak D)\) such that \(X^tJX=J\) will be denoted by \(\text{Sp}_{2n ...
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Large N and large representations of Schur line defect correlators
Journal of High Energy PhysicsWe study the large N and large representation limits of the Schur line defect correlators of the Wilson line operators transforming in the (anti)symmetric, hook and rectangular representations for 𝒩 = 4 U(N) super Yang-Mills theory.
Yasuyuki Hatsuda, Tadashi Okazaki
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A Conjugacy Class as a Transversal in a Finite Group
Journal of Algebra, 2001 Let \(G\) be a finite group, let \(\alpha\in\Aut(G)\) and let \(K_\alpha=\{[g,\alpha]\mid g\in G\}\), \(C_G(\alpha)=\{g\in G\mid\alpha(g)=g\}\). The author calls \(G\) an \(\alpha\)-CCP-group if \(G=K_\alpha C_G(\alpha)\). Using the classification of the finite simple groups and a range of known deep results he manages to prove the following important ...
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On the Number of Conjugacy Classes of a Finite Group
Journal of Algebra, 1993 The paper under review is concerned with upper bounds for the number \(k(G)\) of conjugacy classes of a finite group \(G\). Apart from its own interest the results on conjugacy classes have applications to the so- called \(k(GV)\)-problem, which says: Is it true that whenever \(G\) acts as a linear group of transformations on a finite dimensional ...
Kovacs, L.G., Robinson, G.R.
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Squares of conjugacy classes in alternating groups
We extend to alternating groups $A_n$ several results about symmetric groups asserting that under various conditions on a conjugacy class, or more generally, a normal subset, $C$ of $S_n$, we have $C^2 \supseteq A_n\setminus\{1\}$
Larsen, Michael J., Tiep, Pham Huu
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AxiomsThis paper establishes a functorial algebraic isomorphism between the moduli space BCps(Σ,G) of polystable principal G-bundles with prescribed monodromy on a punctured Riemann surface Σ of genus g≥2, for a complex reductive Lie group G, and the character
Álvaro Antón-Sancho
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