Results 11 to 20 of about 29,505 (192)
On a Dimension Formula for Twisted Spherical Conjugacy Classes in Semisimple Algebraic Groups [PDF]
, 2010 8 ...
Lu, Jiang-Hua
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Two Types of Non-Abelian Topological Phase Transitions Under Duality Mapping in 1D Photonic Chains. [PDF]
Adv Sci (Weinh)In this work, two types of non‐Abelian phase transitions are revealed. The first type is the braided‐node type, signified by the Dirac degeneracy node moving into or out of the unit circle. The second type corresponds to the emerging of nodal‐line degeneracy which intersects with unit circles.
Liu Y +6 more
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The one-prime power hypothesis for conjugacy classes restricted to normal subgroups and quotient groups [PDF]
International Journal of Group Theory, 2019 We say that a group $G$ satisfies the one-prime power hypothesis for conjugacy classes if the greatest common divisor for all pairs of distinct conjugacy class sizes are prime powers.
Julian Brough
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Finite non-nilpotent groups with few non-normal non-cyclic subgroups [PDF]
International Journal of Group Theory, 2017 For a finite group $G$, let $nu_{nc}(G)$ denote the number of conjugacy classes of non-normal non-cyclic subgroups of $G$. We characterize the finite non-nilpotent groups whose all non-normal non-cyclic subgroups are conjugate.
Hamid Mousavi, Zahra Rezazadeh
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On conjugacy classes of the F4 group over a field q with characteristic 2
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2022 This article continues a series of papers devoted to solving the problem by which a non-identity conjugacy class in a finite simple non-abelian group contains commuting elements. Previously, this statement was tested for sporadic, projective, alternating
Yurova Nadezhda
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Abelian varieties with isogenous reductions
Comptes Rendus. Mathématique, 2021 Let $A_1$ and $A_2$ be abelian varieties over a number field $K$. We prove that if there exists a non-trivial morphism of abelian varieties between reductions of $A_1$ and $A_2$ at a sufficiently high percentage of primes, then there exists a non-trivial
Khare, Chandrashekhar B. +1 more
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On Lusztig's map for spherical unipotent conjugacy classes in disconnected groups
Bulletin of the London Mathematical Society, 2023 AbstractLet be a simple algebraic group over an algebraically closed field and let be a graph‐automorphism of . We classify the spherical unipotent conjugacy classes in the coset . As a by‐product, we show that J.‐H. Lu's characterization in characteristic zero of spherical conjugacy classes in by the dimension formula also holds for spherical ...
Costa Cesari, M, Costantini, M
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Two moonshines for L2(11) but none for M12
Nuclear Physics B, 2019 In this paper, we revisit an earlier conjecture by one of us that related conjugacy classes of M12 to Jacobi forms of weight zero and index one. We construct Jacobi forms for all conjugacy classes of M12 that are consistent with constraints from group ...
Suresh Govindarajan, Sutapa Samanta
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On bipartite divisor graphs for group conjugacy class sizes
Journal of Pure and Applied Algebra, 2009 Many authors have considered the influence of arithmetic structure, such as conjugacy class sizes or character degrees, on the algebraic structure of a finite group. Graphs have been introduced to illustrate this arithmetic structure. Let \(X\) be a set of positive integers, then the `prime vertex graph' \(\Delta(X)\) of \(X\) is defined as follows ...
BUBBOLONI, DANIELA +3 more
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Characterization of Frobenius Groups of Special Type [PDF]
, 2006 We define a Con-Cos group G to be one having a proper normal subgroup N whose cosets other than N itself are conjugacy classes. It follows easily that N = G’, the derived group of G.
Muktibodh, Arun S.
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