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finitely generated related issues & queries in MathXchanger
Systematic approach to find base of vectorspace given its elements' traits
linear-algebra
vector-spaces
finitely-generated
Updated May 18, 2019 16:20 PM
1
answers
7
views
0
votes
Tensor product of modules finitely generated
tensor-products
finitely-generated
Updated May 14, 2019 04:20 AM
0
answers
7
views
0
votes
Derived subgroup of a finitely generated nilpotent group
abstract-algebra
group-theory
geometric-group-theory
finitely-generated
nilpotent-groups
Updated May 09, 2019 02:20 AM
0
answers
7
views
1
votes
Condition for a finitely generated flat module be projective
modules
projective-module
finitely-generated
flatness
Updated May 08, 2019 16:20 PM
0
answers
3
views
0
votes
correspondence covering spaces of a free group and its finite index subgroups
covering-spaces
free-groups
finitely-generated
Updated May 02, 2019 16:20 PM
0
answers
3
views
0
votes
Index of the projection of a subgroup on a quotient by finite normal subgroup.
group-theory
finitely-generated
quotient-group
Updated April 19, 2019 15:20 PM
0
answers
5
views
0
votes
Uncorrelatedness for random elements of finitely generated groups?
probability
group-theory
probability-theory
finitely-generated
cayley-graphs
Updated April 18, 2019 16:20 PM
0
answers
8
views
1
votes
Growth rate of finitely generated nilpotent groups
group-theory
finitely-generated
nilpotent-groups
subgroup-growth
Updated April 14, 2019 12:20 PM
0
answers
2
views
0
votes
A system of generators for M using a system of generators for M/IM
algebraic-geometry
commutative-algebra
modules
ideals
finitely-generated
Updated March 25, 2019 19:20 PM
0
answers
12
views
0
votes
When are indecomposable projective modules finitely generated?
ring-theory
representation-theory
projective-module
finitely-generated
Updated March 22, 2019 14:20 PM
0
answers
2
views
0
votes
Generating words in a finitely presented group in SAGE
gap
finitely-generated
sagemath
cayley-graphs
Updated March 12, 2019 23:20 PM
0
answers
8
views
0
votes
Need help understanding a step in a proof about modules over PIDs
modules
principal-ideal-domains
finitely-generated
cyclic-decomposition
Updated March 08, 2019 00:20 AM
0
answers
7
views
0
votes
Proving $G \ast_A$ finitely presented $\Leftrightarrow$ $A$ finitely generated
group-theory
finitely-generated
Updated March 06, 2019 11:20 AM
1
answers
34
views
3
votes
Commutator subgroup of a finitely generated nilpotent group.
group-theory
group-presentation
finitely-generated
combinatorial-group-theory
nilpotent-groups
Updated March 01, 2019 21:20 PM
1
answers
583
views
1
votes
Bound for the rank of a nilpotent group
abstract-algebra
group-theory
finitely-generated
nilpotent-groups
Updated March 01, 2019 21:20 PM
1
answers
349
views
5
votes
The Breuer-Guralnick-Kantor conjecture for infinite 3/2-generated groups
group-theory
finite-groups
finitely-generated
infinite-groups
Updated February 25, 2019 01:20 AM
0
answers
6
views
0
votes
Isomorphism between finitely generated projective modules over algebra of functions
commutative-algebra
projective-module
finitely-generated
Updated February 23, 2019 15:20 PM
1
answers
7
views
1
votes
Does a finitely generated group $G$, ever act on $G/N$ freely?
group-theory
group-actions
free-groups
finitely-generated
Updated February 19, 2019 12:20 PM
0
answers
12
views
1
votes
Set of all R-homomorphism is finitely generated
modules
group-homomorphism
principal-ideal-domains
finitely-generated
Updated February 19, 2019 02:20 AM
0
answers
3
views
0
votes
Could $\langle \Gamma | R \rangle \cong \langle \Gamma | S\rangle$ if $\langle R\rangle \subsetneq \langle S\rangle$?
abstract-algebra
group-theory
group-isomorphism
group-presentation
finitely-generated
Updated February 09, 2019 09:20 AM
0
answers
2
views
0
votes
Dimension of span of a finitely generated subgroup
abstract-algebra
vector-spaces
abelian-groups
finitely-generated
Updated January 30, 2019 20:20 PM
1
answers
6
views
0
votes
Why is $Z^n/AZ^n \cong Z/d_1Z\oplus Z/d_2Z..$ where $d_i$ are the entries of normal form of A?
abstract-algebra
group-theory
abelian-groups
finitely-generated
Updated January 30, 2019 19:20 PM
0
answers
5
views
0
votes
Finitely generated $k$-algebras beginner examples.
commutative-algebra
finitely-generated
algebras
Updated January 27, 2019 00:20 AM
1
answers
8
views
0
votes
Finitely generated free products
group-theory
free-groups
group-presentation
finitely-generated
free-product
Updated January 22, 2019 21:20 PM
0
answers
5
views
0
votes
Construction of a group where nonempty words of small length are not equal to the identity element
abstract-algebra
group-theory
finite-groups
group-presentation
finitely-generated
Updated January 12, 2019 00:20 AM
1
answers
31
views
4
votes
Distinct terms in Ascending or descending chain of ideals $k-$algebra R which is also a finite dimensional vector space.
abstract-algebra
finitely-generated
Updated January 02, 2019 12:20 PM
0
answers
3
views
0
votes
On injective module homomorphism $M^m \to M^n$ for a faithful, finitely generated, non-zero module $M$ over a commutative ring
ring-theory
commutative-algebra
modules
finitely-generated
Updated January 02, 2019 06:20 AM
0
answers
6
views
1
votes
Show that $\mathbb{Z} = \langle a, b \mid a^{12} = b,\ ab = ba \rangle$ has dead end elements
group-theory
geometric-group-theory
group-presentation
finitely-generated
Updated December 28, 2018 06:20 AM
0
answers
86
views
3
votes
Free groups are residually of rank 2
abstract-algebra
group-theory
free-groups
finitely-generated
combinatorial-group-theory
Updated December 27, 2018 18:20 PM
0
answers
7
views
1
votes
Is almost any group generated by two generators?
group-theory
finite-groups
asymptotics
group-presentation
finitely-generated
Updated December 22, 2018 14:20 PM
0
answers
161
views
11
votes
Determine maximal ideals of $\mathbb R[x]/(x^2)$
abstract-algebra
ideals
maximal-and-prime-ideals
finitely-generated
Updated December 22, 2018 12:20 PM
1
answers
13
views
0
votes
Showing the full transformation semigroup $\mathscr{T}_n=\langle\zeta, \tau, \pi\rangle$.
semigroups
finitely-generated
Updated December 21, 2018 19:20 PM
1
answers
150
views
3
votes
Inversion of Gradient Noise Function
inverse
approximation
inverse-function
finitely-generated
noise
Updated December 15, 2018 23:20 PM
0
answers
2
views
0
votes
Prove $\mathbb{C}[x,y]^{G} \cong \mathbb{C}[u,v,w]/(uv−w^{n})$
algebraic-geometry
commutative-algebra
finitely-generated
ring-isomorphism
Updated December 11, 2018 17:20 PM
0
answers
18
views
1
votes
Let $A$ be an abelian finitely generated free group and $A/B$ be a torsion group. Show that $rank(A)=rank(B)$.
group-theory
abelian-groups
finitely-generated
torsion-groups
free-abelian-group
Updated December 11, 2018 04:20 AM
0
answers
7
views
0
votes
Index of subgroups in residually finite groups
abstract-algebra
group-theory
finitely-generated
amenability
Updated December 03, 2018 17:20 PM
0
answers
10
views
0
votes
Localization of finitely generated algebra
commutative-algebra
localization
finitely-generated
Updated November 30, 2018 10:20 AM
0
answers
5
views
0
votes
Is a finitely generated metrizable group discrete?
abstract-algebra
group-theory
topological-groups
finitely-generated
locally-compact-groups
Updated November 29, 2018 13:20 PM
0
answers
6
views
0
votes
Let $R$ be a finitely generated subring of a number field. Is $R/I$ finite for every non-zero ideal of $R$?
number-theory
commutative-algebra
finitely-generated
krull-dimension
finite-rings
Updated November 28, 2018 23:20 PM
1
answers
39
views
5
votes
Prove that $\langle x,y,|x^2,y^2\rangle$ is an infinite group
finitely-generated
Updated November 21, 2018 22:20 PM
1
answers
39
views
1
votes
Why is the decomposition of $\operatorname{Tor}(M)$ into cyclic modules a "subset" of the decomposition of $M$?
abstract-algebra
modules
finitely-generated
Updated November 18, 2018 15:20 PM
1
answers
9
views
0
votes
Showing a Group Can Be Totally Ordered
group-theory
finitely-generated
well-orders
Updated November 04, 2018 23:20 PM
0
answers
2
views
0
votes
Prove that every finitely generated subgroup of a totally ordered group can be totally ordered.
abstract-algebra
group-theory
finitely-generated
well-orders
Updated November 04, 2018 21:20 PM
0
answers
5
views
0
votes
Exists a discrete Euclidean isometry group that's not finitely generated?
group-theory
euclidean-geometry
isometry
finitely-generated
Updated November 02, 2018 17:20 PM
0
answers
23
views
0
votes
The kernel of a surjective homomorphism G --> Z is finitely generated
geometric-group-theory
finitely-generated
Updated October 27, 2018 14:20 PM
0
answers
7
views
0
votes
Exists a discrete isometry group that's not finitely generated?
group-theory
hyperbolic-geometry
isometry
finitely-generated
Updated October 07, 2018 00:20 AM
0
answers
7
views
0
votes
Torsion subgroup of a finitely-generated abelian group is finite?
group-theory
abelian-groups
finitely-generated
torsion-groups
Updated October 03, 2018 08:20 AM
1
answers
9
views
0
votes
Some properties of finitely generated nilpotent subgroups
group-theory
finitely-generated
nilpotent-groups
Updated September 27, 2018 19:20 PM
0
answers
13
views
0
votes
proving that $\mathbb{Z}_m\oplus \mathbb{Z}_n \cong \mathbb{Z}_d\oplus \mathbb{Z}_l $ as groups, where $l=lcm(m,n$) and $d=gcd(m,n)$
group-theory
abelian-groups
finitely-generated
Updated September 18, 2018 14:20 PM
2
answers
157
views
2
votes
Show that finitely generated cone in Hilbert space is closed.
hilbert-spaces
finitely-generated
convex-cone
Updated September 15, 2018 13:20 PM
1
answers
14
views
1
votes
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