# Tagged Questions

**7**

votes

**2**answers

524 views

### Automorphisms of subgroup of hamming cube under distance constraint

Let $S$ be a subset of $\{0,1\}^n$ such that any two elements of $S$ are at least (Hamming) distance 5 apart. I'm looking for an upper bound on the size of the automorphism group of $S$.
There's a ...

**1**

vote

**1**answer

289 views

### stabilizer always abelian? [closed]

Let G be a finite group acting on a finite dimensional vector space V.
Let C be a nontrivial subspace of V. Let H be the subgroup of G that
fixes C pointwise (the stabilizer of C). I'm fairly sure ...

**1**

vote

**1**answer

276 views

### Large subgroups of the Hamming cube

Let's consider the abelian group $\mathbb{Z}^N_2$ equipped with the Hamming metric (the hypercube).
Suppose I have a subgroup of this hypercube (not necessarily a subcube) which is generated by a set ...