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 Oct 19 awarded Yearling Oct 19 awarded Commentator Oct 19 comment The structure of groups (p-groups) in which the centralizer of any non-central element is cyclic Oct 19 answered Importance of $2$-groups in Finite Simple Groups Oct 19 awarded Critic Oct 18 answered p-adic density of zeroes of a polynomial Oct 17 comment Cardinality of the linear group $GL_n({\mathbb Z}/{p \mathbb Z})$ Yes, since you are considering vectors in the space $(\mathbb Z / p \mathbb Z)^n$ over $\mathbb Z / p \mathbb Z$. Oct 17 answered I want search that there is a $y \in Q_{8}$ such that $Q_{8} = \langle y \rangle Z(Q_{8})$. Oct 17 answered Cardinality of the linear group $GL_n({\mathbb Z}/{p \mathbb Z})$ Oct 17 comment When is $2^n +3^n + 6^n$ a perfect square? Also, $n$ must be $2$ modulo $4$ (use mod $5$). Oct 17 answered How to classify the alternating group of degree n Oct 16 awarded Informed Oct 16 comment Trace form to Frobenius norm Are you trying to maximize the trace with a fixed $H$ or $A$? Oct 15 answered Showing that $A_{\infty}$ is a simple group. Oct 15 comment Convergence of cos, sin, tan functions No, $0$ is also repelling. The reason for this is because $0$ is a saddle point for $tan$. As I wrote, a picture is worth a thousand words here. Oct 15 comment Convergence of cos, sin, tan functions Yes. All fixed points (except for $0$) are repelling, because the derivative there is greater than $1$. With $0$, you have to be a bit more careful. Oct 15 answered Convergence of cos, sin, tan functions Oct 13 comment Direct sum of Prüfer groups and $\mathbb Q/\mathbb Z$ Look up profinite completions and Pontryagin duality. Sep 15 comment Inequality: $7a+5b+12ab\le9$ Think geometry. Sep 15 comment Intersection of distinct maximal subgroups in a finite simple group More is true: If every proper subgroup of a finite group is nilpotent, then the group is solvable. This is the Schmidt-Iwasawa theorem.