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 Dec8 awarded Caucus Dec3 answered Is there a shape with infinite area but finite perimeter? May22 awarded Yearling May13 answered Clarification: What does it mean when “$\phi$ and $\psi$ are two smooth curves in $U$ with the same beginning and end points” May6 awarded Editor May6 revised Optimizing interest for a set of debt payments add assumption of monthly minimum interest payments. May5 awarded Commentator May5 comment Optimizing interest for a set of debt payments However, depending on the principal, you may be able to completely pay off some of the lower-interest loans first, then re-allocate some of that money to the higher interest loans. I'm not totally convinced. May5 asked Optimizing interest for a set of debt payments Apr28 awarded Yearling Oct27 awarded Scholar Oct27 comment Binary operations defined on sets of groups? I will look for some structural feature that gives a unique integer between 0 and n-1, this sounds like a straightforward approach. Oct27 accepted Binary operations defined on sets of groups? Oct26 comment Binary operations defined on sets of groups? @ccc Intersection on subgroups of the same order, not arbitrary groups. Oct26 comment Binary operations defined on sets of groups? @SrivatsanNarayanan Yes! For n=32, the number of isomorphism classes is 51, this is the smallest n with the property that the number of isomorphism classes is at least n. After 32, there is 48, 64, 96, 128... you can see where I'm going with this. I want to see if I can construct a group that is isomorphic to one of its elements. I want it to contain itself (up to isomorphism) Oct26 comment Binary operations defined on sets of groups? Let's assume $n \in \mathbb{N}$, I am only considering finite groups. The number of isomorphism classes is at most $n!$, so $m$ is defined and finite. Oct26 comment Binary operations defined on sets of groups? Oh yes, I didn't think of that. However, I'd like to have an operation that has the properties of associativity, identity and inverses. Any thoughts? Oct26 awarded Student Oct26 asked Binary operations defined on sets of groups? Oct3 awarded Nice Answer