Question

Multiplication between elements in $S_3$ and $\mathbb{Z}_2$

score 70 · Answer 1 · 2019-03-11 19:01:25

70

Views

Multiplication between elements in $S_3$ and $\mathbb{Z}_2$

Published on 11 Mar 2019 - 19:01

score 510 · Answer 2 · 2026-03-27 17:06:07

510

Views

Let $G$ have exactly $24$ elements of order $6$. Why are there $12$ cyclic subgroups of $G$ of order $6$?

Published on 27 Mar 2026 - 17:06

score 96 · Answer 3 · 2026-03-28 09:27:33

96

Views

Show that $U(A)\cup\{0\}$ is a field and $|A|\equiv1\pmod p$

Published on 28 Mar 2026 - 9:27

score 493 · Answer 4 · 2026-03-26 04:32:30

493

Views

Find representative for each conjugacy class of $D_{10}$

Published on 26 Mar 2026 - 4:32

score 108 · Answer 5 · 2026-03-25 11:03:43

108

Views

Is there a way to describe the structure of $Aut(UT(3, p))$?

Published on 25 Mar 2026 - 11:03

score 98 · Answer 6 · 2026-03-26 18:51:48

98

Views

prove that for $G$ a multiplicative nonabelian group of order $pq$, where $p$ and $q$ are prime numbers, any proper subgroup of $G$ is abelian

Published on 26 Mar 2026 - 18:51

score 122 · Answer 7 · 2019-03-15 01:05:09

122

Views

decomposition of permutation groups

Published on 15 Mar 2019 - 1:05

score 48 · Answer 8 · 2026-03-27 21:20:42

48

Views

Finding the isomorphism type of an elliptic curve

Published on 27 Mar 2026 - 21:20

score 71 · Answer 9 · 2019-03-15 07:36:47

71

Views

Conjugacy classes of involutions in $O_{2n}(2)$ and other finite simple groups

Published on 15 Mar 2019 - 7:36

score 106 · Answer 10 · 2019-03-15 07:48:30

I have an abelian group $G$ and two cyclic subgroups of orders $p,q$, $( p,q)=1$ and I need to show I have a subgroup of order $pq$.

score 1.2k · Answer 11 · 2026-03-28 12:33:32

1.2k

Views

What is the inverse of an element of polynomial ring over finite field?

Published on 28 Mar 2026 - 12:33

score 432 · Answer 12 · 2026-03-31 12:49:52

432

Views

About Weyl group

Published on 31 Mar 2026 - 12:49

score 506 · Answer 13 · 2026-03-25 03:22:15

506

Views

Let $G$ be a finite simple group and let $H\subset G$ be a abelian subgroup of index $|G:H|=p$. Prove that $H = \{e\}$.

Published on 25 Mar 2026 - 3:22

score 762 · Answer 14 · 2026-03-28 11:25:18

762

Views

Finding multiplicative order of a

Published on 28 Mar 2026 - 11:25

score 67 · Answer 15 · 2019-03-18 04:34:14

67

Views

Let $N$ be a subgroup of a finite group $G$. Show that $|G| = |N| \cdot |G/N|$

Published on 18 Mar 2019 - 4:34

List Question

Multiplication between elements in $S_3$ and $\mathbb{Z}_2$

Let $G$ have exactly $24$ elements of order $6$. Why are there $12$ cyclic subgroups of $G$ of order $6$?

Show that $U(A)\cup\{0\}$ is a field and $|A|\equiv1\pmod p$

Find representative for each conjugacy class of $D_{10}$

Is there a way to describe the structure of $Aut(UT(3, p))$?

prove that for $G$ a multiplicative nonabelian group of order $pq$, where $p$ and $q$ are prime numbers, any proper subgroup of $G$ is abelian

decomposition of permutation groups

Finding the isomorphism type of an elliptic curve

Conjugacy classes of involutions in $O_{2n}(2)$ and other finite simple groups

I have an abelian group $G$ and two cyclic subgroups of orders $p,q$, $( p,q)=1$ and I need to show I have a subgroup of order $pq$.

What is the inverse of an element of polynomial ring over finite field?

About Weyl group

Let $G$ be a finite simple group and let $H\subset G$ be a abelian subgroup of index $|G:H|=p$. Prove that $H = \{e\}$.

Finding multiplicative order of a

Let $N$ be a subgroup of a finite group $G$. Show that $|G| = |N| \cdot |G/N|$

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