Open neighborhood of the identity in general linear group with no proper subgroup.
32759
Open neighborhood of the identity with no proper subgroup.
10229
Cyclic group generated by empty set.
85106
Group of order 10 has an element of order 5, without using Cauchy's or Sylow's theorems
105139
Verification of Proof that a nonabelian group G of order pq where p and q are primes has a trivial center
42582
Infinite group with only two conjugacy classes
32741
Idempotents in a ring without unity (rng) and no zero divisors.
91021
Torsion elements of a group aren't necessarily a subgroup
62635
Prove that the additive group $ℚ$ is not isomorphic with the multiplicative group $ℚ^*$.
107091
Taking the automorphism group of a group is not functorial.
91874
Existence of finite indexed normal subgroup for a given finite indexed subgroup.
110217
$GL(n,K)$ is open in $M(n,K)$
9232
Group with proper subgroups infinite cyclic
128732
$\mathbb Z_{p^n}$ is not the direct product of any family of its proper subgroups
26256
Characterizing Dense Subgroups of the Reals
126927
$\mathbb Q$ is not the direct product of two non-trivial groups.
157841
Existence of a non-abelian group of order $p^n$.
68128
Two term free resolution of an abelian group.