A family of permutation groups with exponentially many nonconjugated regular elementary abelian subgroups
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- by S. Evdokimov, M. Muzychuk and I. Ponomarenko
- St. Petersburg Math. J. 29 (2018), 575-580
- DOI: https://doi.org/10.1090/spmj/1507
- Published electronically: June 1, 2018
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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.References
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Bibliographic Information
- S. Evdokimov
- Affiliation: Netanya Academic College, Netanya, Israel
- M. Muzychuk
- Affiliation: Netanya Academic College, Netanya, Israel
- MR Author ID: 249196
- Email: muzy@netanya.ac.il
- I. Ponomarenko
- Affiliation: St. Petersburg Branch, Steklov Institute of Mathematics, Russian Academy of Sciences, Fontanka 27, 191023 St. Petersburg, Russia
- Email: inp@pdmi.ras.ru
- Received by editor(s): February 6, 2017
- Published electronically: June 1, 2018
- Additional Notes: The first author, S. Evdokimov, is deceased.
- © Copyright 2018 American Mathematical Society
- Journal: St. Petersburg Math. J. 29 (2018), 575-580
- MSC (2010): Primary 20B05
- DOI: https://doi.org/10.1090/spmj/1507
- MathSciNet review: 3708863