Results 101 to 110 of about 1,309 (212)
On virtual chirality of 3‐manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract We prove that if a prime 3‐manifold M$M$ is not finitely covered by the 3‐sphere or a product manifold, then M$M$ is virtually chiral, that is, it has a finite cover that does not admit an orientation‐reversing self‐homeomorphism. In general, if a 3‐manifold contains a virtually chiral prime summand, then it is virtually chiral.
Hongbin Sun, Zhongzi Wang
wiley +1 more source
On conjugacy separability of some Coxeter groups and parabolic-preserving automorphisms
, 2013 We prove that even Coxeter groups, whose Coxeter diagrams contain no (4, 4, 2) triangles, are conjugacy separable. In particular, this applies to all right-angled Coxeter groups or word hyperbolic even Coxeter groups. For an arbitrary Coxeter group W, we
Caprace, Pierre-Emmanuel +1 more
core
On spherical twisted conjugacy classes [PDF]
, 2012 Let G be a simple algebraic group over an algebraically closed eld of good odd characteristic, and let be an automorphism of G arising from an involution of its Dynkin diagram.
Giovanna Carnovale, CARNOVALE, GIOVANNA
core +1 more source
Conjugacy classes in linear groups
, 1977 Let G belong to one of the three families of complex classical linear groups or to one of the seven families of corresponding real forms. Let L denote its Lie algebra.
Cushman, R, Burgoyne, N
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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.
openaire +2 more sources
The principal series of p-adic groups with disconnected centre [PDF]
, 2017 Contains fulltext : 173480pub.pdf (Publisher’s version ) (Open Access) Contains fulltext : 173480pre.pdf (Author’s version preprint ) (Open ...
Solleveld, Maarten +13 more
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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 ...
openaire +2 more sources
A note on conjugacy classes of finite groups
Proceedings - Mathematical Sciences, 2014 The authors classify all finite groups satisfying three different conditions with regard to their conjugacy classes and subgroups. These classifications are the following. Let \(G\) be a finite group, then: (a) Each non-trivial conjugacy class of \(G\) together with the identity element, 1, is a subgroup of \(G\) if and only if \(G\) is an elementary ...
Kalra, Hemant, Gumber, Deepak
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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
doaj +1 more source
Products of Conjugacy Classes in Algebraic Groups, I
, 1995 Here we consider algebraic varieties which are closures of products of conjugacy classes in algebraic groups. Estimates for the dimension of such varieties are obtained. Moreover, these estimates are used in some questions of the Invariant Theory.
Gordeev, N.L., N.L. Gordeev
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