query: Number of elements $GL(n,\mathbb{Z_p})$
positive_passages.docid: 27865
positive_passages.text: What is the number of invertible $n\times n$ matrices in $\operatorname{GL}_n(F)$?
negative_passages.docid: 37012
negative_passages.text: The number of summands $\phi(n)$
negative_passages.docid: 67272
negative_passages.text: Deduce that if $G$ is a finite $p$-group, the number of subgroups of $G$ that are not normal is divisible by $p$
negative_passages.docid: 36137
negative_passages.text: Prove $GL_2(\mathbb{Z}/2\mathbb{Z})$ is isomorphic to $S_3$
negative_passages.docid: 25290
negative_passages.text: Determine the number of irreducible monic polynomials of degree 3 in $\mathbb F_p[x]$
negative_passages.docid: 15000
negative_passages.text: Show that number of elements in $(Z/nZ)^*$ is $\phi (n)$
negative_passages.docid: 104513
negative_passages.text: Order of elements in $Z_n$
negative_passages.docid: 29608
negative_passages.text: If GCD $(a_1,\ldots, a_n)=1$ then there's a matrix in $SL_n(\mathbb{Z})$ with first row $(a_1,\ldots, a_n)$
negative_passages.docid: 114987
negative_passages.text: How many connected components does $\mathrm{GL}_n(\mathbb R)$ have?
negative_passages.docid: 105666
negative_passages.text: What's an easy way to show that $GL(n,\mathbb C)$ is connected?
negative_passages.docid: 59041
negative_passages.text: Centre of $GL_n(\mathbb R)$
negative_passages.docid: 57221
negative_passages.text: counting the number of elements in a conjugacy class of $S_n$
negative_passages.docid: 122959
negative_passages.text: How is number of conjugacy class related to the order of a group?
negative_passages.docid: 131516
negative_passages.text: Subgroup generated by n-th powers of elements
negative_passages.docid: 110390
negative_passages.text: Order of group $GL_{2}\left( \mathbb{F}_{p}\right) $
negative_passages.docid: 78263
negative_passages.text: Prove $GL_n(\Bbb{R})/SL_n(\Bbb{R}) \cong \Bbb{R}^\times$
negative_passages.docid: 73458
negative_passages.text: Double cover of $GL(n,\mathbb{C})$.