Question

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

score 245 · Answer 1 · 2026-04-14 08:03:34

245

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

Published on 14 Apr 2026 - 8:03

score 43 · Answer 2 · 2026-04-09 04:42:37

43

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Question about showing a function is well defined

Published on 09 Apr 2026 - 4:42

score 75 · Answer 3 · 2026-03-26 17:53:58

75

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

Published on 26 Mar 2026 - 17:53

score 33 · Answer 4 · 2026-04-15 19:20:29

33

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describing bases of free abelian groups of finite rank

Published on 15 Apr 2026 - 19:20

score 176 · Answer 5 · 2026-04-13 06:09:41

176

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Periodic groups: subgroups and quotients

Published on 13 Apr 2026 - 6:09

score 1.2k · Answer 6 · 2026-04-17 10:51:39

1.2k

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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 17 Apr 2026 - 10:51

score 283 · Answer 7 · 2026-03-26 17:53:22

283

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

Published on 26 Mar 2026 - 17:53

score 566 · Answer 8 · 2026-04-12 06:50:20

566

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

Published on 12 Apr 2026 - 6:50

score 1.4k · Answer 9 · 2026-04-15 10:19:47

1.4k

Views

Tensor product of abelian group with itself is zero

Published on 15 Apr 2026 - 10:19

score 371 · Answer 10 · 2026-04-15 12:38:55

371

Views

Determinant of base change matrix is the index

Published on 15 Apr 2026 - 12:38

score 389 · Answer 11 · 2026-04-11 15:46:37

389

Views

Subgroup of free abelian group

Published on 11 Apr 2026 - 15:46

score 493 · Answer 12 · 2026-04-14 10:06:59

493

Views

Free abelian groups clarification

Published on 14 Apr 2026 - 10:06

score 254 · Answer 13 · 2026-03-26 21:25:56

254

Views

Infinite abelian group with every proper nontrivial subgroup being free abelian

Published on 26 Mar 2026 - 21:25

score 404 · Answer 14 · 2026-03-26 17:53:45

404

Views

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

Published on 26 Mar 2026 - 17:53

score 452 · Answer 15 · 2026-04-16 05:58:02

452

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

Published on 16 Apr 2026 - 5:58

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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