👉 In mathematics, a supergroup is a set of subsets of a topological space that are closed under certain operations. The concept of supergroups was introduced by John von Neumann and includes the following properties: 1. Closure under union: For all sets $A_1$ and $A_2$, if $A_1\cup A_2 = U$, then so is $A_1 \cap A_2$. 2. Closure under intersection: For all sets $A
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What is the definition of Supergroup? 🙋
👉 In mathematics, a supergroup is an algebraic structure that contains both subgroups and cosets of other groups. It can be seen as a generalization of the concept of a subgroup in group theory. A supergroup is defined as follows: 1. A set S is a supergroup if it has the following properties: - All elements x ∈ S are said to be cosets of some element y ∈ S. - The operation ⊗ on S is defined by setting x
