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Relevant bibliographies by topics / Supercharacter theory

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Academic literature on the topic 'Supercharacter theory'

Author: Grafiati

Published: 10 September 2021

Last updated: 7 February 2022

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Journal articles on the topic "Supercharacter theory"

1

Burkett, Shawn T., and Mark L. Lewis. "Vanishing-off subgroups and supercharacter theory products." International Journal of Algebra and Computation 30, no. 05 (2020): 1057–72. http://dx.doi.org/10.1142/s0218196720500307.

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In this paper, we study the vanishing-off subgroups of supercharacters, and use these to determine several new characterizations of supercharacter theory products. In particular, we give a character theoretic characterization that allows us to conclude that one may determine if a supercharacter theory is a [Formula: see text]-product or ∗-product from the values of its corresponding supercharacters.

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Burkett, Shawn T. "An algorithm for computing a supercharacter theory generated from a given partition." International Journal of Algebra and Computation 31, no. 05 (2021): 819–30. http://dx.doi.org/10.1142/s0218196721500387.

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Let [Formula: see text] be a finite group. The set of all supercharacter theories of [Formula: see text] forms a lattice, where the join operation coincides with the join operation on the lattice of partitions of [Formula: see text], with partial order given by refinement. The meet operation is more complicated however, and seems difficult to describe. In this paper, we outline algorithms for determining the coarsest supercharacter theory whose associated partition is finer than a given partition. One of the primary applications is to compute the supercharacters and superclasses for the meet o

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3

Ashrafi, A. R., and F. Koorepazan-Moftakhar. "Towards the classification of finite simple groups with exactly three or four supercharacter theories." Asian-European Journal of Mathematics 11, no. 05 (2018): 1850096. http://dx.doi.org/10.1142/s1793557118500961.

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A supercharacter theory for a finite group [Formula: see text] is a set of superclasses each of which is a union of conjugacy classes together with a set of sums of irreducible characters called supercharacters that together satisfy certain compatibility conditions. The aim of this paper is to give a description of some finite simple groups with exactly three or four supercharacter theories.

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4

Aliniaeifard, Farid. "Normal supercharacter theories and their supercharacters." Journal of Algebra 469 (January 2017): 464–84. http://dx.doi.org/10.1016/j.jalgebra.2016.09.005.

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5

Finnegan, C., and R. J. Higgs. "Projective supercharacter theory." Communications in Algebra 48, no. 8 (2020): 3447–58. http://dx.doi.org/10.1080/00927872.2020.1739696.

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6

Sun, Yujiao. "A supercharacter theory for Sylow p-subgroups of the Steinberg triality groups." Journal of Algebra and Its Applications 18, no. 05 (2019): 1950083. http://dx.doi.org/10.1142/s021949881950083x.

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We determine a supercharacter theory for the matrix Sylow [Formula: see text]-subgroup [Formula: see text] of the Steinberg triality group [Formula: see text], and establish the supercharacter table of [Formula: see text].

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7

Chávez, Ángel, and George Todd. "Supercharacters and mixed moments of Kloosterman sums." International Journal of Number Theory 14, no. 04 (2018): 1023–32. http://dx.doi.org/10.1142/s1793042118500616.

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Recent work has realized Kloosterman sums as supercharacter values of a supercharacter theory on [Formula: see text]. We use this realization to express fourth degree mixed power moments of Kloosterman sums in terms of the trace of Frobenius of a certain elliptic curve.

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8

Panov, A. N. "Towards a Supercharacter Theory of Parabolic Subgroups." Algebras and Representation Theory 21, no. 5 (2018): 1133–49. http://dx.doi.org/10.1007/s10468-018-9780-x.

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9

André, Carlos A. M., Pedro J. Freitas, and Ana Margarida Neto. "A supercharacter theory for involutive algebra groups." Journal of Algebra 430 (May 2015): 159–90. http://dx.doi.org/10.1016/j.jalgebra.2015.02.015.

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10

Marberg, Eric. "A supercharacter analogue for normality." Journal of Algebra 332, no. 1 (2011): 334–65. http://dx.doi.org/10.1016/j.jalgebra.2011.02.019.

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Dissertations / Theses on the topic "Supercharacter theory"

1

Lochon, Jocelyn. "Supercharacter theories for discrete algebra groups." Doctoral thesis, 2019. http://hdl.handle.net/10451/45595.

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The goal of this thesis is the extension of a construction of a supercharacter theory (first established for finite groups) to the context of infinite countable discrete groups, namely, for amenable countable discrete algebra groups. By an algebra group we mean a group of the form G = 1+A where A is an associative nil algebra over a field K, which generalize the group Un(K) consisting of all unipotent uppertriangular n_n-matrices over K. We may think about a supercharacter theory for a finite group as an approximation of the usual irreducible character theory, and it as been proved to provide

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Book chapters on the topic "Supercharacter theory"

1

Johnson, Kenneth W. "Fusion and Supercharacters." In Group Matrices, Group Determinants and Representation Theory. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-28300-1_9.

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André, Carlos A. M., Filipe Gomes, and Jocelyn Lochon. "Indecomposable Supercharacters of the Infinite Unitriangular Group." In Operator Theory, Operator Algebras, and Matrix Theory. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72449-2_1.

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