Question

Group Isomorphism Between Integer Group modulo m and Direct Product of Integer Groups modulo the Relatively Prime Factors of m

score 1.8k · Answer 1 · 2017-01-04 18:17:25

1.8k

Views

Group Isomorphism Between Integer Group modulo m and Direct Product of Integer Groups modulo the Relatively Prime Factors of m

Published on 04 Jan 2017 - 18:17

score 904 · Answer 2 · 2017-01-10 19:43:23

904

Views

True or False: Any surjective homomorphism between 2 isomorphic groups is an isomorphism.

Published on 10 Jan 2017 - 19:43

score 40 · Answer 3 · 2017-01-12 15:37:45

40

Views

how do we determine the isometrics of a regular polygon?

Published on 12 Jan 2017 - 15:37

score 465 · Answer 4 · 2017-01-13 23:45:34

465

Views

What does it mean for an element of a group to be a function on the group?

Published on 13 Jan 2017 - 23:45

score 152 · Answer 5 · 2026-02-23 08:42:19

152

Views

If $A$ is a retract of $X$ (via $r:X\to A$), then $H_q(X)\cong \text{im }i_\oplus \ker r_$

Published on 23 Feb 2026 - 8:42

score 323 · Answer 6 · 2017-01-16 10:06:07

323

Views

When will two groups be isomorphic???

Published on 16 Jan 2017 - 10:06

score 129 · Answer 7 · 2017-01-17 14:33:44

129

Views

Element prime order (EPO) group

Published on 17 Jan 2017 - 14:33

score 368 · Answer 8 · 2017-01-18 18:44:54

368

Views

Number of prime order elements of two non-isomorphic groups of same order

Published on 18 Jan 2017 - 18:44

score 109 · Answer 9 · 2017-01-18 19:37:33

109

Views

Prove Isomorphism of two groups

Published on 18 Jan 2017 - 19:37

score 1.5k · Answer 10 · 2026-03-26 04:34:56

1.5k

Views

Prove that the map R[x,y]→R[x,y] defined by $x\mapsto x+f(y)$, $y\mapsto y$ is an automorphism of R[x,y].

Published on 26 Mar 2026 - 4:34

score 330 · Answer 11 · 2026-03-31 05:56:48

330

Views

Extending automorphisms on cyclic subgroups

Published on 31 Mar 2026 - 5:56

score 399 · Answer 12 · 2017-01-26 18:58:37

399

Views

Proof: $\mathbb{Z}_2 \oplus \mathbb{Z}_6 \not \cong \mathbb{Z}_{12}$

Published on 26 Jan 2017 - 18:58

score 117 · Answer 13 · 2026-02-23 04:40:38

117

Views

Does the "send-basis-to-basis isomorphisms creation process" work for fundamental groups (at least for closed orientable surfaces of genus $g$)?

Published on 23 Feb 2026 - 4:40

score 43 · Answer 14 · 2017-01-29 17:55:41

43

Views

Question on the first isomorphism thorem

Published on 29 Jan 2017 - 17:55

score 1k · Answer 15 · 2017-01-29 19:59:19

1k

Views

Show that the set of all group isomorphisms from $f:(Q,+)\rightarrow (Q,+)$ is isomorphic with the $(Q^*,\cdot)$ group

Published on 29 Jan 2017 - 19:59

List Question

Group Isomorphism Between Integer Group modulo m and Direct Product of Integer Groups modulo the Relatively Prime Factors of m

True or False: Any surjective homomorphism between 2 isomorphic groups is an isomorphism.

how do we determine the isometrics of a regular polygon?

What does it mean for an element of a group to be a function on the group?

If $A$ is a retract of $X$ (via $r:X\to A$), then $H_q(X)\cong \text{im }i_\oplus \ker r_$

When will two groups be isomorphic???

Element prime order (EPO) group

Number of prime order elements of two non-isomorphic groups of same order

Prove Isomorphism of two groups

Prove that the map R[x,y]→R[x,y] defined by $x\mapsto x+f(y)$, $y\mapsto y$ is an automorphism of R[x,y].

Extending automorphisms on cyclic subgroups

Proof: $\mathbb{Z}_2 \oplus \mathbb{Z}_6 \not \cong \mathbb{Z}_{12}$

Does the "send-basis-to-basis isomorphisms creation process" work for fundamental groups (at least for closed orientable surfaces of genus $g$)?

Question on the first isomorphism thorem

Show that the set of all group isomorphisms from $f:(Q,+)\rightarrow (Q,+)$ is isomorphic with the $(Q^*,\cdot)$ group

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