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Sbornik: Mathematics, 2017, Volume 208, Issue 7, Pages 977–991
DOI: https://doi.org/10.1070/SM8778 (Mi sm8778) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Restriction and induction for supercharacters of finite groups of triangular type

A. N. Panov

Samara National Research University
English version PDF (517 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM8778
Abstract: It is proved that the restriction of any supercharacter of a finite group of triangular type to its subgroup is a sum of supercharacters with nonnegative integer coefficients. We define a superinduction and prove the analogue of Frobenius's reciprocity formula for supercharacters.
Bibliography: 21 titles.
Keywords: supercharacter theory, triangular group, induced character, Frobenius reciprocity.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00154-а
This research was carried out with the support of the Russian Foundation for Basic Research (grant no. 16-01-00154-a).
Received: 05.07.2016 and 07.04.2017
Russian version:
Matematicheskii Sbornik, 2017, Volume 208, Number 7, Pages 68–83
DOI: https://doi.org/10.4213/sm8778
Bibliographic databases:
Document Type: Article
UDC: 512.547.2
MSC: 20C15, 20C99
Language: English
Original paper language: Russian
Citation: A. N. Panov, “Restriction and induction for supercharacters of finite groups of triangular type”, Mat. Sb., 208:7 (2017), 68–83; Sb. Math., 208:7 (2017), 977–991
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    English version PDF:5
    References:43
    First page:12
     
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