Email this article Characterization of Simple Symplectic Groups of Degree 4 over Locally Finite Fields in the Class of Periodic Groups
- Authors: Lytkina D.V.1,2, Mazurov V.D.2,3
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Affiliations:
- Siberian State University of Telecommunications and Information Sciences
- Novosibirsk State University
- Sobolev Institute of Mathematics
- Issue: Vol 57, No 3 (2018)
- Pages: 201-210
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234088
- DOI: https://doi.org/10.1007/s10469-018-9493-6
- ID: 234088
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Abstract
Let G be a periodic group containing an element of order 2 such that each of its finite subgroups of even order lies in a finite subgroup isomorphic to a simple symplectic group of degree 4. It is shown that G is isomorphic to a simple symplectic group S4(Q) of degree 4 over some locally finite field Q.
About the authors
D. V. Lytkina
Siberian State University of Telecommunications and Information Sciences; Novosibirsk State University
Author for correspondence.
Email: daria.lytkin@gmail.com
Russian Federation, ul. Kirova 86, Novosibirsk, 630102; ul. Pirogova 1, Novosibirsk, 630090
V. D. Mazurov
Novosibirsk State University; Sobolev Institute of Mathematics
Email: daria.lytkin@gmail.com
Russian Federation, ul. Pirogova 1, Novosibirsk, 630090; pr. Akad. Koptyuga 4, Novosibirsk, 630090
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