Question

Examples of non-abelian, non-isomorphic groups that have the same conjugacy class structure.

score 356 · Answer 1 · 2014-11-21 22:00:48

356

Views

Examples of non-abelian, non-isomorphic groups that have the same conjugacy class structure.

Published on 21 Nov 2014 - 22:00

score 120 · Answer 2 · 2026-03-29 12:11:55

120

Views

Rubik's Slide Proof's and Symmetries in a Rubik's Slide

Published on 29 Mar 2026 - 12:11

score 425 · Answer 3 · 2014-11-25 21:17:00

425

Views

Existence of projectives in the category of torsion abelian groups

Published on 25 Nov 2014 - 21:17

score 46 · Answer 4 · 2014-11-26 09:00:35

46

Views

Automorphisms of $Z_{p^{i_1}}Z_{p^{i_2}}...*Z_{p^{i_n}}$

Published on 26 Nov 2014 - 9:00

score 943 · Answer 5 · 2014-11-26 18:27:49

943

Views

Showing that the product group of $G$ and $H$ satisfies the universal property for coproducts in the category of abelian groups $\mathbf{Ab}$

Published on 26 Nov 2014 - 18:27

score 882 · Answer 6 · 2014-11-28 18:48:39

882

Views

Every nonabelian group of order divisible by 6 contains a subgroup of order 6

Published on 28 Nov 2014 - 18:48

score 268 · Answer 7 · 2026-03-28 06:40:41

268

Views

Writing $G/A\times G/B$ explicitly as union of orbits

Published on 28 Mar 2026 - 6:40

score 28 · Answer 8 · 2014-11-30 09:59:16

28

Views

for abelian $A\ncong \mathbb Z_2 ,\{e\} $ to finde a automorphism that is not trivial

Published on 30 Nov 2014 - 9:59

score 251 · Answer 9 · 2014-11-30 22:45:10

251

Views

Determing whether (S, *) is an Abelian group

Published on 30 Nov 2014 - 22:45

score 740 · Answer 10 · 2026-03-25 16:01:09

740

Views

Automorphisms of the Prüfer group

Published on 25 Mar 2026 - 16:01

score 1.3k · Answer 11 · 2014-12-03 20:04:15

1.3k

Views

A4 is a normal subgroup of A5

Published on 03 Dec 2014 - 20:04

score 440 · Answer 12 · 2014-12-03 21:25:12

440

Views

Five lemma: unique isomorphism?

Published on 03 Dec 2014 - 21:25

score 289 · Answer 13 · 2014-12-04 12:10:02

289

Views

Maps to all finite cyclic groups factor implies map to integers factors

Published on 04 Dec 2014 - 12:10

score 124 · Answer 14 · 2014-12-04 16:11:42

124

Views

group without involution is 2-divisible

Published on 04 Dec 2014 - 16:11

score 53 · Answer 15 · 2026-03-29 12:03:46

53

Views

Finding/Creating a Modern Algebra theorem

Published on 29 Mar 2026 - 12:03

List Question

Examples of non-abelian, non-isomorphic groups that have the same conjugacy class structure.

Rubik's Slide Proof's and Symmetries in a Rubik's Slide

Existence of projectives in the category of torsion abelian groups

Automorphisms of $Z_{p^{i_1}}Z_{p^{i_2}}...*Z_{p^{i_n}}$

Showing that the product group of $G$ and $H$ satisfies the universal property for coproducts in the category of abelian groups $\mathbf{Ab}$

Every nonabelian group of order divisible by 6 contains a subgroup of order 6

Writing $G/A\times G/B$ explicitly as union of orbits

for abelian $A\ncong \mathbb Z_2 ,\{e\} $ to finde a automorphism that is not trivial

Determing whether (S, *) is an Abelian group

Automorphisms of the Prüfer group

A4 is a normal subgroup of A5

Five lemma: unique isomorphism?

Maps to all finite cyclic groups factor implies map to integers factors

group without involution is 2-divisible

Finding/Creating a Modern Algebra theorem

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