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" The moving power of mathematical invention is not reasoning but imagination. "

— Augustus De Morgan


1d
revised If $H \leq G, \exists g \in G$ such that $HgHg^{-1} = G$, then $H = G$
edited body
1d
revised If $H \leq G, \exists g \in G$ such that $HgHg^{-1} = G$, then $H = G$
added 5 characters in body
1d
answered Question about a proof showing that the center of $S_n$ is trivial
1d
comment Looking for differentiable function $f:\mathbb R \to \mathbb R$ whose derivative is nowhere continuous
@user48481MirkoSwirko: But how do I integrate a nowhere continuous function ?
1d
asked Looking for differentiable function $f:\mathbb R \to \mathbb R$ whose derivative is nowhere continuous
2d
comment Which rings containing the complex field are, as vector spaces over that field, isomorphic to $\mathbb{C}^2$?
But can it not be that $1$ is the multiplicative unit of only the containing field $k$ but not of the ring $R$ ?
2d
comment Which rings containing the complex field are, as vector spaces over that field, isomorphic to $\mathbb{C}^2$?
By what definition $1.x=x.1$ ; please tell
Nov
23
comment Which rings containing the complex field are, as vector spaces over that field, isomorphic to $\mathbb{C}^2$?
Why should $R$ be commutative ? In particular , can we not have $1.x \ne x.1$ ? Since $R$ is a v.s. we should have $1.x=x$ , since $k$ is a field we should also have $1.y=y.1=y , \forall y \in k$ , but does this necessarily imply $R$ is commutative ?
Nov
19
answered g.c.d.{$m^p-m:m=2$ to $n$} $= ?$
Nov
14
asked Example of infinite field $(F,+,.)$ such that $(F^*, . )$ is a cyclic group ?
Nov
14
comment After removing any part the rest can be split evenly. Consequences?
Is your good $n$-tuple the set $S$ of my question ?
Nov
14
accepted An obstacle in a proof of Lagrange's mean value theorem by Nested Interval theorem
Nov
11
revised An obstacle in a proof of Lagrange's mean value theorem by Nested Interval theorem
edited body
Nov
11
asked An obstacle in a proof of Lagrange's mean value theorem by Nested Interval theorem
Nov
10
comment $\dim \ker (T-aI)^n$ is the algebraic multiplicity of $a$ ?
@Bombyxmori: Umm I thought the geometric multiplicity was $\dim \ker (T-aI) $ ...
Nov
10
asked $\dim \ker (T-aI)^n$ is the algebraic multiplicity of $a$ ?
Nov
9
accepted If two real symmetric square matrices commute then does they have a common eigenvector ?
Nov
9
accepted Determining the dimension of span$\{AB-BA : A,B \in M_{n \times n}(\mathbb R) \}$
Nov
9
comment What are the $2$-dimensional algebras over any arbitrary field?
@alex.jordan: Yes , the algebra is required to have a copy of the field embedded in it
Nov
9
asked Are there any finite non-abelian group with one subgroup of each size ?