Question

Are finite faithful $G$-sets asymptotically free?

score 38 · Answer 1 · 2026-03-26 16:06:16

38

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Are finite faithful $G$-sets asymptotically free?

Published on 26 Mar 2026 - 16:06

score 188 · Answer 2 · 2026-03-28 05:59:59

188

Views

Inner product with values in a finite field over space of finite functions

Published on 28 Mar 2026 - 5:59

score 156 · Answer 3 · 2019-02-20 16:05:12

156

Views

Understanding a proof by Gallian that $A_5$ has no subgroup of order $30$.

Published on 20 Feb 2019 - 16:05

score 105 · Answer 4 · 2026-03-26 19:51:32

105

Views

Rank of a $p$-group

Published on 26 Mar 2026 - 19:51

score 183 · Answer 5 · 2026-03-25 03:03:16

183

Views

Does non-abelian $\Phi(G)$ imply, that $p^5 | |G|$ for some prime $p$?

Published on 25 Mar 2026 - 3:03

score 116 · Answer 6 · 2026-03-25 12:20:41

116

Views

Does the specific condition on a normal subgroup of a finite group imply that it is a direct factor?

Published on 25 Mar 2026 - 12:20

score 137 · Answer 7 · 2019-02-22 23:08:41

137

Views

Abstract algebra subgroup proof verification

Published on 22 Feb 2019 - 23:08

score 346 · Answer 8 · 2026-03-25 20:15:15

346

Views

What is the smallest poset with automorphism group $C_n$?

Published on 25 Mar 2026 - 20:15

score 315 · Answer 9 · 2019-02-23 18:25:40

315

Views

How do you deduce the possible algebraic structures of a group from its order?

Published on 23 Feb 2019 - 18:25

score 30 · Answer 10 · 2019-02-23 19:06:55

30

Views

Why does the fact that $\nexists H\le A_4$ with $\lvert H\rvert=6$ imply $\lvert Z(A_4)\rvert=1$?

Published on 23 Feb 2019 - 19:06

score 62 · Answer 11 · 2019-02-24 04:28:24

62

Views

With regards to Sylow's theorems, why are prime numbers so special in finite groups?

Published on 24 Feb 2019 - 4:28

score 131 · Answer 12 · 2019-02-24 12:10:28

131

Views

Are all finite groups isomorphic to multiplicative group of a ring

Published on 24 Feb 2019 - 12:10

score 78 · Answer 13 · 2026-03-26 17:13:30

78

Views

Is $|\{z\in\Bbb Z_3\times\Bbb Z_9: |z|=9\}|=18?$

Published on 26 Mar 2026 - 17:13

score 296 · Answer 14 · 2026-03-25 09:29:59

296

Views

If we are handed the presentation $\langle i,j,k \mid i^2=j^2=k^2=ijk \rangle$ and nothing more, can we deduce that this is the quaternion group?

Published on 25 Mar 2026 - 9:29

score 147 · Answer 15 · 2026-03-22 22:49:22

147

Views

Large counterexamples to "Non-isomorphic finite groups have verbal subgroups of different order"

Published on 22 Mar 2026 - 22:49

List Question

Are finite faithful $G$-sets asymptotically free?

Inner product with values in a finite field over space of finite functions

Understanding a proof by Gallian that $A_5$ has no subgroup of order $30$.

Rank of a $p$-group

Does non-abelian $\Phi(G)$ imply, that $p^5 | |G|$ for some prime $p$?

Does the specific condition on a normal subgroup of a finite group imply that it is a direct factor?

Abstract algebra subgroup proof verification

What is the smallest poset with automorphism group $C_n$?

How do you deduce the possible algebraic structures of a group from its order?

Why does the fact that $\nexists H\le A_4$ with $\lvert H\rvert=6$ imply $\lvert Z(A_4)\rvert=1$?

With regards to Sylow's theorems, why are prime numbers so special in finite groups?

Are all finite groups isomorphic to multiplicative group of a ring

Is $|\{z\in\Bbb Z_3\times\Bbb Z_9: |z|=9\}|=18?$

If we are handed the presentation $\langle i,j,k \mid i^2=j^2=k^2=ijk \rangle$ and nothing more, can we deduce that this is the quaternion group?

Large counterexamples to "Non-isomorphic finite groups have verbal subgroups of different order"

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