Results 21 to 30 of about 6,235 (209)
Conjugacy classes and automorphisms of twin groups [PDF]
, 2019 The twin group T n {T_{n}} is a right-angled Coxeter group generated by n - 1 {n-1} involutions, and the pure twin group PT n {\mathrm{PT}_{n}} is the kernel of the natural surjection from T n {T_{n}} onto the symmetric group on n symbols. In this paper,
Tushar Kanta Naik +2 more
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Twisted conjugacy classes in unitriangular groups [PDF]
Journal of group theroy, 2018 Let R be an integral domain of characteristic zero. In this note we study the Reidemeister spectrum of the group UTn(R){{\rm UT}_{n}(R)} of unitriangular matrices over R.
T. Nasybullov
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Groups with boundedly Černikov conjugacy classes
Advances in Group Theory and Applications, 2021 Summary: A relevant theorem of B. H. Neumann states that if a group \(G\) has boundedly finite conjugacy classes, then its commutator subgroup \(G'\) is finite. This result has been generalized in [\textit{E. Detomi} et al., Glasg. Math. J. 63, No. 1, 54--58 (2021; Zbl 1530.20084)], where it is proved in particular that if the orbits of a group \(G ...
M. De Falco +3 more
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On two generation methods for the simple linear group $PSL(3,7)$ [PDF]
AUT Journal of Mathematics and Computing, 2023 A finite group $G$ is said to be \textit{$(l,m, n)$-generated}, if it is a quotient group of the triangle group $T(l,m, n) = \left.$ In [J. Moori, $(p, q, r)$-generations for the Janko groups $J_{1}$ and $J_{2}$, Nova J.
Thekiso Seretlo
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Conjugacy Class Representatives in the Monster Group [PDF]
LMS Journal of Computation and Mathematics, 2005 AbstractThe paper describes a procedure for determining (up to algebraic conjugacy) the conjugacy class in which any element of the Monster lies, using computer constructions of representations of the Monster in characteristics 2 and 7. This procedure has been used to calculate explicit representatives for each conjugacy class.
Richard W. Barraclough, Robert A. Wilson
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TWISTED CONJUGACY CLASSES IN LATTICES IN SEMISIMPLE LIE GROUPS [PDF]
Transformation groups, 2014 Given a group automorphism ϕ: Γ → Γ, one has an action of Γ on itself by ϕ-twisted conjugacy, namely, g.x = gxϕ(g−1). The orbits of this action are called ϕ-conjugacy classes.
T. Mubeena, P. Sankaran
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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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Groups with Boundedly Finite Conjugacy Classes of Commutators. [PDF]
, 2017 In 1954 B. H. Neumann discovered that if G is a group in which all conjugacy classes are finite with bounded size, then the derived group G' is finite. Later (in 1957) Wiegold found an explicit bound for the order of G'.
Gláucia Dierings, P. Shumyatsky
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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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