Email this article Characterization of Locally Finite Simple Groups of Type G2 over Fields of Odd Characteristics in the Class of Periodic Groups
- Authors: Zhu X.1, Lytkina D.V.2, Mazurov V.D.3
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Affiliations:
- Nanjing University of Aeronautics and Astronautics
- Siberian State University of Telecommunications and Information Sciences
- Sobolev Institute of Mathematics
- Issue: Vol 105, No 3-4 (2019)
- Pages: 513-518
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151651
- DOI: https://doi.org/10.1134/S0001434619030234
- ID: 151651
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Abstract
We prove that a periodic group is locally finite, given that each of its finite subgroups lies in a subgroup isomorphic to a finite simple group G2 of Lietypeovera field of odd characteristic.
About the authors
X. Zhu
Nanjing University of Aeronautics and Astronautics
Author for correspondence.
Email: zhuxiaoxing@aliyun.com
China, Nanjing, 210016
D. V. Lytkina
Siberian State University of Telecommunications and Information Sciences
Author for correspondence.
Email: daria.lytkin@gmail.com
Russian Federation, Novosibirsk, 630102
V. D. Mazurov
Sobolev Institute of Mathematics
Author for correspondence.
Email: mazurov@math.nsc.ru
Russian Federation, Novosibirsk, 630090
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