Periodic Groups Saturated with Finite Simple Groups of Types U3 and L3


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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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