Periodic Groups Saturated with Finite Simple Groups of Types U3 and L3
- Authors: Lytkina D.V.1,2, Shlepkin A.A.3
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Affiliations:
- Siberian State University of Telecommunications and Information Sciences
- Novosibirsk State University
- Siberian Federal University
- Issue: Vol 55, No 4 (2016)
- Pages: 289-294
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/233993
- DOI: https://doi.org/10.1007/s10469-016-9398-1
- ID: 233993
Cite item
Abstract
Suppose that \( \mathfrak{M} \) is a set whose elements are simple three-dimensional unitary groups U3(q) and linear groups L3(q) over finite fields. We prove that a periodic group saturated with groups of \( \mathfrak{M} \) is locally finite and isomorphic to U3(Q) or L3(Q) for 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 2, Novosibirsk, 630090
A. A. Shlepkin
Siberian Federal University
Email: daria.lytkin@gmail.com
Russian Federation, pr. Svobodnyi 79, Krasnoyarsk, 660041
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