Question

The boundary formula and cohomology of finite groups

score 31 · Answer 1 · 2016-01-13 12:30:17

31

Views

The boundary formula and cohomology of finite groups

Published on 13 Jan 2016 - 12:30

score 50 · Answer 2 · 2016-01-15 18:04:03

50

Views

How to prove $\rm{Hom}_{\,\mathbb Z}(\mathbb{Z}G,A)^{S}\cong\rm{Hom}_{\,\mathbb Z}(\mathbb{Z}(G/S),A)$?

Published on 15 Jan 2016 - 18:04

score 726 · Answer 3 · 2016-01-16 19:42:39

726

Views

Cartesian product of compact triangulated spaces

Published on 16 Jan 2016 - 19:42

score 45 · Answer 4 · 2016-01-19 11:50:54

45

Views

How to prove $M\otimes_{\,G}A≅ {Hom}_{G}({Hom}_{\,\mathbb Z}(M,{\,\mathbb Z}),A)$?

Published on 19 Jan 2016 - 11:50

score 442 · Answer 5 · 2016-01-21 00:59:07

442

Views

Let $G$ be a group. Why is $ \operatorname{Ext}_{\mathbb{Z}G}^1(\mathbb{Z},\mathbb{Z})\cong \operatorname{Hom}_{Grp}(G,\mathbb{Z})$?

Published on 21 Jan 2016 - 0:59

score 266 · Answer 6 · 2016-01-21 14:58:59

266

Views

For any closed form $a$ with compact support, there exists a form $b$ w.c.s. in the unit ball such that $a-b$ is exact.

Published on 21 Jan 2016 - 14:58

score 22 · Answer 7 · 2016-01-22 13:32:58

22

Views

Notation in group cohomology context

Published on 22 Jan 2016 - 13:32

score 267 · Answer 8 · 2016-01-25 22:20:59

267

Views

Easy computational example of first cohomology group: Is this how we do it?

Published on 25 Jan 2016 - 22:20

score 513 · Answer 9 · 2016-01-31 23:31:06

513

Views

Absolute Galois group $\text{Gal}(\overline{K}/K)$ of any number field $K$ has a non-open subgroup of any prime index $p$?

Published on 31 Jan 2016 - 23:31

score 1.2k · Answer 10 · 2016-02-05 19:21:58

1.2k

Views

When does the first cohomology group commute with inverse limit?

Published on 05 Feb 2016 - 19:21

score 90 · Answer 11 · 2016-02-10 19:58:02

90

Views

Can a group have the same 3-cocycles as one of its quotients?

Published on 10 Feb 2016 - 19:58

score 252 · Answer 12 · 2016-02-12 18:41:59

252

Views

perfect groups with non-trivial group homology over rational coefficients

Published on 12 Feb 2016 - 18:41

score 540 · Answer 13 · 2026-03-28 04:50:10

540

Views

stuck on proof of inflation restriction exact sequence in group cohomology

Published on 28 Mar 2026 - 4:50

score 78 · Answer 14 · 2016-02-28 01:45:08

78

Views

Existence of class modules for finite groups

Published on 28 Feb 2016 - 1:45

score 115 · Answer 15 · 2016-03-04 03:23:51

115

Views

Does H2 depends only on abelian quotient?

Published on 04 Mar 2016 - 3:23

List Question

The boundary formula and cohomology of finite groups

How to prove $\rm{Hom}_{\,\mathbb Z}(\mathbb{Z}G,A)^{S}\cong\rm{Hom}_{\,\mathbb Z}(\mathbb{Z}(G/S),A)$?

Cartesian product of compact triangulated spaces

How to prove $M\otimes_{\,G}A≅ {Hom}_{G}({Hom}_{\,\mathbb Z}(M,{\,\mathbb Z}),A)$?

Let $G$ be a group. Why is $ \operatorname{Ext}_{\mathbb{Z}G}^1(\mathbb{Z},\mathbb{Z})\cong \operatorname{Hom}_{Grp}(G,\mathbb{Z})$?

For any closed form $a$ with compact support, there exists a form $b$ w.c.s. in the unit ball such that $a-b$ is exact.

Notation in group cohomology context

Easy computational example of first cohomology group: Is this how we do it?

Absolute Galois group $\text{Gal}(\overline{K}/K)$ of any number field $K$ has a non-open subgroup of any prime index $p$?

When does the first cohomology group commute with inverse limit?

Can a group have the same 3-cocycles as one of its quotients?

perfect groups with non-trivial group homology over rational coefficients

stuck on proof of inflation restriction exact sequence in group cohomology

Existence of class modules for finite groups

Does H2 depends only on abelian quotient?

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