query: Order of $GL(n, \mathbb Z_p)$
positive_passages.docid: 28402
positive_passages.text: Number of bases of an n-dimensional vector space over q-element field.
negative_passages.docid: 59041
negative_passages.text: Centre of $GL_n(\mathbb R)$
negative_passages.docid: 38153
negative_passages.text: Looking for a simple proof that groups of order $2p$ are up to isomorphism $\mathbb{Z}_{2p}$ and $D_{p}$ .
negative_passages.docid: 36137
negative_passages.text: Prove $GL_2(\mathbb{Z}/2\mathbb{Z})$ is isomorphic to $S_3$
negative_passages.docid: 103423
negative_passages.text: Normal subgroup where G has order prime
negative_passages.docid: 58925
negative_passages.text: Order of general linear group of $2 \times 2$ matrices over $\mathbb{Z}_3$
negative_passages.docid: 30637
negative_passages.text: Exponent of $GL(n,q)$.
negative_passages.docid: 56607
negative_passages.text: gcd and order of elements of group
negative_passages.docid: 91294
negative_passages.text: order of quotient ring
negative_passages.docid: 145000
negative_passages.text: Fundamental group of GL(n,C) is isomorphic to Z. How to learn to prove facts like this?
negative_passages.docid: 17178
negative_passages.text: Order of $\phi(g)$ divides the order of $g$
negative_passages.docid: 15526
negative_passages.text: Question on groups of order $pq$
negative_passages.docid: 106577
negative_passages.text: If G is not abelian with order $p^3$ then $G'=Z(G)$
negative_passages.docid: 41231
negative_passages.text: Subgroups of (Z,+) of order n
negative_passages.docid: 50157
negative_passages.text: order of a sylow p-subgroup
negative_passages.docid: 105363
negative_passages.text: $\mathbb Z^n/\langle (a,...,a) \rangle \cong \mathbb Z^{n-1} \oplus \mathbb Z/\langle a \rangle$
negative_passages.docid: 92211
negative_passages.text: When are $\mathbb Z_m$ and $\mathbb Z_n$ homomorphic?