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Algebra i Analiz, 2017, Volume 29, Issue 4, Pages 45–52 (Mi aa1549)  
This article is cited in 1 scientific paper (total in 1 paper)

Research Papers

A family of permutation groups with exponentially many nonconjugated regular elementary Abelian subgroups

S. Evdokimov, M. Muzychuka, I. Ponomarenkob

a Netanya Academic College, Netanya, Israel
b St. Petersburg Branch, Steklov Institute of Mathematics, Russian Academy of Sciences, Fontanka, 27, 191023, St. Petersburg, Russia
Full-text PDF (178 kB) Citations (1)
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Abstract: Given a prime $p$, a permutation group is constructed that contains at least $p^{p-2}$ nonconjugated regular elementary Abelian subgroups of order $p^3$. This gives the first example of a permutation group with exponentially many nonconjugated regular subgroups.
Keywords: permutation group, regular subgroup, polynomial over finite field.
Received: 06.02.2017
English version:
St. Petersburg Mathematical Journal, 2018, Volume 29, Issue 4, Pages 575–580
DOI: https://doi.org/10.1090/spmj/1507
Bibliographic databases:
Document Type: Article
Language: English
Citation: S. Evdokimov, M. Muzychuk, I. Ponomarenko, “A family of permutation groups with exponentially many nonconjugated regular elementary Abelian subgroups”, Algebra i Analiz, 29:4 (2017), 45–52; St. Petersburg Math. J., 29:4 (2018), 575–580
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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    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Full-text PDF :32
    References:35
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