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This tag is used if a reference is needed in a paper or textbook on a specific result.
5
votes
Accepted
Can every cancellative invertible-free monoid be embedded in a group?
No, it is not true even for finitely generated monoids. Take any semigroup $S$ which is cancellative and does not embed into a group (first examples were constructed by Malcev). Consider the monoid $S …
3
votes
Which great mathematicians were also historians of mathematics?
Magnus wrote this together with Chandler. Ron Solomon wrote this very useful text.
25
votes
Accepted
Are groups determined by their morphisms from solvable groups?
Let $G, G'$ be two non-isomorphic Tarski monsters of prime exponent $p$ or two non-isomorphic torsion-free Tarski monsters. Then for every solvable group $A$, $\mathbb{hom}(A,G)\cong \mathbb{hom}(A,G' …