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Questions about the branch of algebra that deals with groups.

8 votes
1 answer
242 views

Finite group such that $K_{-1} (\mathbb Z G)$ has non-trivial torsion

According to Carters Lower K-theory of finite groups for a finite group $G$ we have $$ K_{-1} (\mathbb Z G) = \mathbb Z^r \oplus \mathbb Z_2^s $$ where $s$ is the sum over all irreducible representati …
11 votes
1 answer
1k views

The set of subgroups of $F_2$

This question came up in our algebraic topology class and our Professor didn't know the answer. I also couldn't find an answer so far. What is the cardinality of the set of subgroups of $F_2$? H …