Question

elementary proof on cyclic group

score 62 · Answer 1 · 2016-01-02 22:43:27

62

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elementary proof on cyclic group

Published on 02 Jan 2016 - 22:43

score 43 · Answer 2 · 2016-01-07 10:26:53

43

Views

If $\alpha\approx\sqrt p$ and $\beta\approx\log p$, is $\alpha\beta^{-1}\bmod p\approx p$ with probability $1-o(1)$?

Published on 07 Jan 2016 - 10:26

score 314 · Answer 3 · 2026-03-27 11:48:10

314

Views

Prove that the presentation of a cyclic group of infinite order is $\langle a\mid \rangle$

Published on 27 Mar 2026 - 11:48

score 193 · Answer 4 · 2016-01-08 10:26:55

193

Views

Number of colorings under cyclic permutation.

Published on 08 Jan 2016 - 10:26

score 8.9k · Answer 5 · 2016-01-10 17:51:00

8.9k

Views

Show that any cyclic group of even order has exactly one element of order $2$

Published on 10 Jan 2016 - 17:51

score 2.6k · Answer 6 · 2016-01-11 16:01:07

2.6k

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group of order 27 must have a subgroup of order 3

Published on 11 Jan 2016 - 16:01

score 3.8k · Answer 7 · 2016-01-11 16:30:23

3.8k

Views

Let G be a cyclic group of order 24 then what is the total number of isomorphism ofG onto itself ??

Published on 11 Jan 2016 - 16:30

score 24 · Answer 8 · 2016-01-18 16:25:56

24

Views

Any subgroup $H$ (or ideal) in $\mathbb{Z}$ is of the form $(m) = m\mathbb{Z}$ for some $m\in\mathbb{Z}$

Published on 18 Jan 2016 - 16:25

score 73 · Answer 9 · 2016-01-20 19:05:21

73

Views

Distribution of numbers from a cyclic group $Z_p$

Published on 20 Jan 2016 - 19:05

score 324 · Answer 10 · 2026-03-26 03:13:31

324

Views

Invariants of a finite abelian group written as a central extension of a cyclic group by a finite abelian group.

Published on 26 Mar 2026 - 3:13

score 199 · Answer 11 · 2016-01-21 23:41:12

199

Views

Prove that G is a cyclic group

Published on 21 Jan 2016 - 23:41

score 418 · Answer 12 · 2016-01-25 07:39:46

418

Views

a cyclic nonsimple module over $\mathbb{Z}$

Published on 25 Jan 2016 - 7:39

score 565 · Answer 13 · 2016-01-25 20:38:14

565

Views

Questions of a completely reducible module

Published on 25 Jan 2016 - 20:38

score 177 · Answer 14 · 2016-01-27 11:00:16

177

Views

Find the structure of $\mathbb{Z}_{120}^*$

Published on 27 Jan 2016 - 11:00

score 570 · Answer 15 · 2026-03-31 03:29:06

570

Views

Show that there is precisely one cyclic code C of length 4 and dimension 2. Write down all the codewords in C.

Published on 31 Mar 2026 - 3:29

List Question

elementary proof on cyclic group

If $\alpha\approx\sqrt p$ and $\beta\approx\log p$, is $\alpha\beta^{-1}\bmod p\approx p$ with probability $1-o(1)$?

Prove that the presentation of a cyclic group of infinite order is $\langle a\mid \rangle$

Number of colorings under cyclic permutation.

Show that any cyclic group of even order has exactly one element of order $2$

group of order 27 must have a subgroup of order 3

Let G be a cyclic group of order 24 then what is the total number of isomorphism ofG onto itself ??

Any subgroup $H$ (or ideal) in $\mathbb{Z}$ is of the form $(m) = m\mathbb{Z}$ for some $m\in\mathbb{Z}$

Distribution of numbers from a cyclic group $Z_p$

Invariants of a finite abelian group written as a central extension of a cyclic group by a finite abelian group.

Prove that G is a cyclic group

a cyclic nonsimple module over $\mathbb{Z}$

Questions of a completely reducible module

Find the structure of $\mathbb{Z}_{120}^*$

Show that there is precisely one cyclic code C of length 4 and dimension 2. Write down all the codewords in C.

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