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Search options not deleted user 157261

This tag is used if a reference is needed in a paper or textbook on a specific result.

5 votes
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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 …
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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
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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' …
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