Characterization of simple symplectic groups of degree 4 over locally finite fields of characteristic 2 in the class of periodic groups
- Authors: Lytkina D.V.1, Mazurov V.D.2
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Affiliations:
- Siberian State University of Telecommunications and Information Sciences Novosibirsk State University
- Sobolev Institute of Mathematics
- Issue: Vol 58, No 5 (2017)
- Pages: 850-858
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171467
- DOI: https://doi.org/10.1134/S0037446617050123
- ID: 171467
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Abstract
Suppose that each finite subgroup of even order of a periodic group containing an element of order 2 lies in a subgroup isomorphic to a simple symplectic group of degree 4 over some finite field of characteristic 2. We prove that in that case the group is isomorphic to a simple symplectic group S4(Q) over some locally finite field Q of characteristic 2.
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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, Novosibirsk
V. D. Mazurov
Sobolev Institute of Mathematics
Email: daria.lytkin@gmail.com
Russian Federation, Novosibirsk