Question

Question about "extending by linearity" to prove a map is a homorphism

score 243 · Answer 1 · 2017-06-02 10:53:04

243

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Question about "extending by linearity" to prove a map is a homorphism

Published on 02 Jun 2017 - 10:53

score 41 · Answer 2 · 2017-06-05 15:10:48

41

Views

Question about showing a function is well defined

Published on 05 Jun 2017 - 15:10

score 74 · Answer 3 · 2017-06-06 02:06:50

74

Views

What does an element of a direct sum of free abelian groups look like?

Published on 06 Jun 2017 - 2:06

score 30 · Answer 4 · 2017-06-07 01:30:46

30

Views

describing bases of free abelian groups of finite rank

Published on 07 Jun 2017 - 1:30

score 173 · Answer 5 · 2017-06-08 15:31:30

173

Views

Periodic groups: subgroups and quotients

Published on 08 Jun 2017 - 15:31

score 1.2k · Answer 6 · 2017-06-14 11:43:39

1.2k

Views

If $0 \rightarrow A \rightarrow B \rightarrow C \rightarrow 0$ is a short exact sequence of abelian groups, then rank $B$ = rank $A$ + rank $C$

Published on 14 Jun 2017 - 11:43

score 282 · Answer 7 · 2017-06-27 13:12:52

282

Views

Understanding statement: F free of rank r $\Rightarrow$ F/F' free abelian of rank r

Published on 27 Jun 2017 - 13:12

score 563 · Answer 8 · 2017-07-04 09:31:03

563

Views

Every abelian group $A$ is isomorphic to a factor group of a free abelian group (check).

Published on 04 Jul 2017 - 9:31

score 1.4k · Answer 9 · 2017-07-04 16:11:50

1.4k

Views

Tensor product of abelian group with itself is zero

Published on 04 Jul 2017 - 16:11

score 369 · Answer 10 · 2017-07-05 03:29:32

369

Views

Determinant of base change matrix is the index

Published on 05 Jul 2017 - 3:29

score 386 · Answer 11 · 2017-07-24 15:48:43

386

Views

Subgroup of free abelian group

Published on 24 Jul 2017 - 15:48

score 490 · Answer 12 · 2017-08-04 19:02:27

490

Views

Free abelian groups clarification

Published on 04 Aug 2017 - 19:02

score 253 · Answer 13 · 2017-08-06 19:35:17

253

Views

Infinite abelian group with every proper nontrivial subgroup being free abelian

Published on 06 Aug 2017 - 19:35

score 403 · Answer 14 · 2017-09-02 05:41:42

403

Views

Show that any automorphism of the free group maps the normal commutator group to the normal commutator group

Published on 02 Sep 2017 - 5:41

score 449 · Answer 15 · 2017-11-11 16:30:47

449

Views

Relationship between a basis for a free abelian group of rank $n$ and a basis for a subgroup of the same rank

Published on 11 Nov 2017 - 16:30

List Question

Question about "extending by linearity" to prove a map is a homorphism

Question about showing a function is well defined

What does an element of a direct sum of free abelian groups look like?

describing bases of free abelian groups of finite rank

Periodic groups: subgroups and quotients

If $0 \rightarrow A \rightarrow B \rightarrow C \rightarrow 0$ is a short exact sequence of abelian groups, then rank $B$ = rank $A$ + rank $C$

Understanding statement: F free of rank r $\Rightarrow$ F/F' free abelian of rank r

Every abelian group $A$ is isomorphic to a factor group of a free abelian group (check).

Tensor product of abelian group with itself is zero

Determinant of base change matrix is the index

Subgroup of free abelian group

Free abelian groups clarification

Infinite abelian group with every proper nontrivial subgroup being free abelian

Show that any automorphism of the free group maps the normal commutator group to the normal commutator group

Relationship between a basis for a free abelian group of rank $n$ and a basis for a subgroup of the same rank

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