query: the number of group homomorphism
positive_passages.docid: 28252
positive_passages.text: How many homomorphisms are there from $\Bbb Z_{20}$ onto $\Bbb Z_{8}$? How many are there to $\Bbb Z_{8}$?
negative_passages.docid: 152306
negative_passages.text: Finding homomorphisms from $\mathbb Z_{12}$ to $\mathbb Z_{6}$.
negative_passages.docid: 47623
negative_passages.text: The set of all complex homomorphisms of abelian group $G$ has the same structure as $G$
negative_passages.docid: 154847
negative_passages.text: homomorphism from $S_3$ to $\mathbb Z/3\mathbb Z$
negative_passages.docid: 44258
negative_passages.text: Conditions under which group solvability is invariant under an homomorphism.
negative_passages.docid: 102429
negative_passages.text: There are 2 groups of order 6 (up to isomorphism)
negative_passages.docid: 133660
negative_passages.text: When can a homomorphism be determined entirely by its generators
negative_passages.docid: 151029
negative_passages.text: The number of non normal subgroups of a group cannot be $1$?
negative_passages.docid: 16687
negative_passages.text: Number of Equivalence relations of $\{1,2,3\}$
negative_passages.docid: 40852
negative_passages.text: Number of ways of distributing $n$ identical objects among $r$ groups
negative_passages.docid: 16259
negative_passages.text: How many non isomorphic groups of order 30 are there?
negative_passages.docid: 34599
negative_passages.text: Number of ring homomorphisms from $\mathbb Z_{12}$ to $\mathbb Z_{28}$.
negative_passages.docid: 5906
negative_passages.text: All group homomorphism from $ \mathbb{Z} _m $ to $\mathbb{Z}_n $
negative_passages.docid: 128834
negative_passages.text: Proving the number of even and odd permutations of a subgroup $H<S_{n}$ are equal, provided $H$ is not contained in $A_{n}$
negative_passages.docid: 13717
negative_passages.text: Homomorphisms from $S_4$ to $\mathbb Z_2$
negative_passages.docid: 96614
negative_passages.text: Finite number of subgroups $\Rightarrow$  finite group
negative_passages.docid: 111049
negative_passages.text: Groups with given automorphism groups