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- W2274954839 abstract "We show how to construct all the extensions of left braces by ideals with trivial structure. This is useful to find new examples of left braces. But, to do so, we must know the basic blocks for extensions: the left braces with no ideals except the trivial and the total ideal, called simple left braces. In this article, we present the first non-trivial examples of finite simple left braces. To explicitly construct them, we define the matched product of two left braces, which is a useful method to recover a finite left brace from its Sylow subgroups." @default.
- W2274954839 created "2016-06-24" @default.
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- W2274954839 date "2015-11-26" @default.
- W2274954839 modified "2023-09-27" @default.
- W2274954839 title "Examples of simple left braces" @default.
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