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In Chapter  8 , we found that groups with an exact factorization produce skew braces. In this chapter, we will study a different relationship between factorizations of groups and skew braces. A group G is said to be factorized through subgroups A and B if \(G=AB\) . We remark that we do not assume that \(A\cap B=\{1\}\) .

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Factorizations

  • 章节

  • 发表日期：

    2026年

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  • Ferran Cedó,
  • Leandro Vendramin

摘要

In Chapter  8 , we found that groups with an exact factorization produce skew braces. In this chapter, we will study a different relationship between factorizations of groups and skew braces. A group G is said to be factorized through subgroups A and B if \(G=AB\) . We remark that we do not assume that \(A\cap B=\{1\}\) .