Results 21 to 30 of about 4,080,638 (238)
Countably recognizable classes of groups with restricted conjugacy classes [PDF]
International Journal of Group Theory, 2018 A group class ${ X}$ is said to be countably recognizable if a group belongs to ${X}$ whenever all its countable subgroups lie in ${X}$. It is proved here that most of the relevant classes of groups defined by restrictions on the conjugacy classes are ...
Francesco de Giovanni, Marco Trombetti
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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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On products of conjugacy classes in general linear groups [PDF]
International Journal of Group Theory, 2022 Let $K$ be a field and $n\geq 3$. Let $E_n(K)\leq H\leq GL_n(K)$ be an intermediate group and $C$ a noncentral $H$-class. Define $m(C)$ as the minimal positive integer $m$ such that $\exists i_1,\ldots,i_m\in\{\pm 1\}$ such that the product $C^{i_1 ...
Raimund Preusser
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Mathieu moonshine and Siegel Modular Forms
Journal of High Energy Physics, 2021 A second-quantized version of Mathieu moonshine leads to product formulae for functions that are potentially genus-two Siegel Modular Forms analogous to the Igusa Cusp Form. The modularity of these functions do not follow in an obvious manner.
Suresh Govindarajan, Sutapa Samanta
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On conjugacy classes of Sn containing all irreducibles [PDF]
Israel Journal of Mathematics, 2016 It is shown that for the conjugation action of the symmetric group Sn, when n = 6 or n ≥ 8, all Sn-irreducibles appear as constituents of a single conjugacy class, namely, one indexed by a partition λ of n with at least two parts, whose parts are all ...
S. Sundaram
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Groups with Černikov conjugacy classes [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1991 AbstractThe aim of this paper is to prove some embedding theorems for groups with Černikov conjugacy classes. Moreover a characterization of periodic central-by-Černikov groups is given.
DE GIOVANNI, FRANCESCO +2 more
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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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Современная математика: Фундаментальные направления, 2022 Gradient-like flows on surfaces have simple dynamics, which inspired many mathematicians to search for invariants of their topological equivalence. Under assumptions of different generality on the class of gradient-like flows under consideration, such ...
V. E. Kruglov, O. V. Pochinka
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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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Characteristics of the Number of Conjugacy Classes and P-Regular Classes in Finite Symmetric Groups
IOP Conference Series: Materials Science and Engineering, 2019 In this work, the number of p – regular classes Nprc(Sn) in symmetric group Sn is always less than or equal to the number of conjugacy classes Nc(Sn) in Sn is shown.
S. Khalil, Nadia M. Ali Abbas
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