Simple Bol Loops |
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Authors: | E K Loginov |
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Institution: | 1. Physics Department , Ivanovo State University , Ivanovo, Russia loginov-05@mail.ru |
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Abstract: | In this article we investigate the Bol loops and connected with them groups. We prove an analog of the Doro's theorem for Moufang loops and find a criterion for simplicity of Bol loops. One of the main results obtained is the following: If the right multiplication group of a connected finite Bol loop S is a simple group, then S is a Moufang loop. |
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Keywords: | Bol loops |
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