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Izvestiya: Mathematics, 2013, Volume 77, Issue 4, Pages 846–854
DOI: https://doi.org/10.1070/IM2013v077n04ABEH002662 (Mi im8022) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Sporadic simple groups and quotient singularities

I. A. Cheltsovab, K. A. Shramovb

a Steklov Mathematical Institute of the Russian Academy of Sciences
b University of Liverpool
English version PDF (263 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM2013v077n04ABEH002662
Abstract: We show that if a faithful irreducible representation of a central extension of a sporadic simple group with centre contained in the commutator subgroup gives rise to an exceptional (resp. weakly exceptional but not exceptional) quotient singularity, then that simple group is the Hall–Janko group (resp. the Suzuki group).
Keywords: weakly exceptional singularities, log canonical threshold, sporadic simple groups.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00336-a
Ministry of Education and Science of the Russian Federation НШ-4713.2010.1
MK-6612.2012.1
11.G34.31.0023
Received: 29.06.2012
Revised: 19.09.2012
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2013, Volume 77, Issue 4, Pages 215–224
DOI: https://doi.org/10.4213/im8022
Bibliographic databases:
Document Type: Article
UDC: 512.761+512.542.2
MSC: 14B05, 20B25
Language: English
Original paper language: Russian
Citation: I. A. Cheltsov, K. A. Shramov, “Sporadic simple groups and quotient singularities”, Izv. RAN. Ser. Mat., 77:4 (2013), 215–224; Izv. Math., 77:4 (2013), 846–854
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v77/i4/p215
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:182
    English version PDF:13
    References:71
    First page:21
     
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