Proving a multiplicative group module n is generated in a handy way
140144
Can you find an element of order 10 in $\mathbb{Z}_{31}^{*}$
117178
Cyclic group generators
25744
Multiplication in Permutation Groups Written in Cyclic Notation
57309
Show that the free group on $n$ generators is a finite index subgroup of $F_2$
39895
Showing a free abelian group is generated by its basis
152721
Help showing $H_n=\sum_{h \in H}h \in F[H]$ is a simple submodule
67926
$S_n$ is generated by elements of the form $(1k)$
141843
n-dimensional vector space isomorphic to the n-th product of a field as abelian groups
95942
$k[x]/(x^n)$ module with finite free resolution is free
141010
Computing $n$-th external power of standard simplectic form
9806
$M$ finitely generated if submodule and quotient are finitely generated.
8417
Natural $(R/I)$-module structure for an $R$-module $M$ annihilated by $I$
87946
Proving that the unities of a ring form a group under multiplication
98765
Showing that $G/(H\cap K)\cong (G/H)\times (G/K)$
53357
Cyclic Group Generators of Order $n$
96680
Generators of symmetric group $S_n$
103427
When is $\operatorname{Hom}_A(M,N)$ finitely generated?