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ghc1997
  • Member for 2 years, 3 months
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17 votes
1 answer
677 views

Multiply an integer polynomial with another integer polynomial to get a "big" coefficient

16 votes
1 answer
807 views

A "simpler" description of the automorphism group of the lamplighter group

7 votes
1 answer
624 views

Given a rational matrix $Q$, can we generate $\langle Q^{i}(v)\mid i\in\mathbb Z,v\in\mathbb Z^{2}\rangle$ using only non-negative powers of a matrix?

5 votes
1 answer
381 views

Is this semi-direct product residually finite?

5 votes
3 answers
610 views

Finite index subgroup of $\mathbb{Z}^2$ that is invariant under a non-singular matrix

4 votes
0 answers
205 views

Does there exist a finitely generated, torsion group $G$ with a residually finite ascending HNN extension?

4 votes
1 answer
287 views

Permuting subgroups with the same finite index

3 votes
0 answers
128 views

the growth rate of poly-$\mathbb{Z}$ group

3 votes
2 answers
450 views

How fast does the number of "fixed" points grow compared to the size of the ball in the following group?

2 votes
0 answers
151 views

The growth rate of the group $\mathbb{Z}[1/2] \rtimes _\phi \mathbb{Z}$, where $\phi (1)$ corresponds to multiplying every number by $2$

2 votes
0 answers
58 views

upper bound for the exponential conjugacy growth rate for non-virtually nilpotent polycyclic groups

2 votes
1 answer
511 views

Submatrices of matrices in $\mathrm{SL}(4, \mathbb{Z})$ with all eigenvalues equal to $1$ [closed]

2 votes
0 answers
128 views

Decompose a rational matrix as an integer matrix and an inverse of integer matrix

1 vote
1 answer
238 views

Smith normal form and last invariant factor of certain matrices

1 vote
0 answers
114 views

Help to understand the geodesics in $BS(1, 2)$

0 votes
1 answer
169 views

Prime index subgroups of $\langle Q^{i}(\mathbb Z^{2}) \mid i \in \mathbb Z \rangle$ that is invariant under matrix $Q$