Question

Index of Maximal Subgroup

score 183 · Answer 1 · 2015-01-06 01:50:06

183

Views

Index of Maximal Subgroup

Published on 06 Jan 2015 - 1:50

score 332 · Answer 2 · 2015-01-10 14:45:31

332

Views

Example of a non-abelain finite group $G$ with $G/N$ abelian and infinite group $G$ with $G/N$ finite

Published on 10 Jan 2015 - 14:45

score 507 · Answer 3 · 2015-01-17 14:42:00

507

Views

Does there exist infinite group $G$ with subgroups $H,K$ of finite index such that $[G: H \cap K] = [G:H][G:K]$ but $G \ne HK$?

Published on 17 Jan 2015 - 14:42

score 926 · Answer 4 · 2015-02-18 14:44:21

926

Views

In cryptography, why do we reduce elliptic curves over finite fields?

Published on 18 Feb 2015 - 14:44

score 68 · Answer 5 · 2026-03-26 14:21:10

68

Views

Looking for example(s) of infinite abelian group $G$ , other than $\mathbb Q / \mathbb Z$, such that $\mathbb Z^+=\{o(g):g \in G\}$

Published on 26 Mar 2026 - 14:21

score 1k · Answer 6 · 2015-02-24 12:45:29

1k

Views

Example of an infinite abelian group having a non-cyclic finite subgroup

Published on 24 Feb 2015 - 12:45

score 280 · Answer 7 · 2015-02-28 10:34:06

280

Views

About direct limit of groups

Published on 28 Feb 2015 - 10:34

score 1.2k · Answer 8 · 2015-03-16 03:38:01

1.2k

Views

Let G be an infinite cyclic group. Prove that G cannot have any non-identity elements of finite order.

Published on 16 Mar 2015 - 3:38

score 574 · Answer 9 · 2015-03-17 07:19:45

574

Views

How to classify all the abelian groups with finite exponent?

Published on 17 Mar 2015 - 7:19

score 135 · Answer 10 · 2015-04-09 07:18:34

135

Views

Direct product of a finite group with an infinite symmetric group

Published on 09 Apr 2015 - 7:18

score 2.6k · Answer 11 · 2015-04-09 11:36:31

2.6k

Views

Does there exist any uncountable group , every proper subgroup of which is countable?

Published on 09 Apr 2015 - 11:36

score 450 · Answer 12 · 2015-04-09 14:38:07

450

Views

Assuming the axiom of choice ,how to prove that every uncountable abelian group must have an uncountable proper subgroup?

Published on 09 Apr 2015 - 14:38

score 518 · Answer 13 · 2015-04-16 08:49:32

518

Views

Quotient group(Factor group)

Published on 16 Apr 2015 - 8:49

score 1.4k · Answer 14 · 2015-04-21 11:27:58

1.4k

Views

Non-trivial group homomorphism from an infinite group to a finite group

Published on 21 Apr 2015 - 11:27

score 280 · Answer 15 · 2026-03-25 22:04:08

280

Views

Is there a classification of f.g. abelian-by-finite groups? [EDITED]

Published on 25 Mar 2026 - 22:04

List Question

Index of Maximal Subgroup

Example of a non-abelain finite group $G$ with $G/N$ abelian and infinite group $G$ with $G/N$ finite

Does there exist infinite group $G$ with subgroups $H,K$ of finite index such that $[G: H \cap K] = [G:H][G:K]$ but $G \ne HK$?

In cryptography, why do we reduce elliptic curves over finite fields?

Looking for example(s) of infinite abelian group $G$ , other than $\mathbb Q / \mathbb Z$, such that $\mathbb Z^+=\{o(g):g \in G\}$

Example of an infinite abelian group having a non-cyclic finite subgroup

About direct limit of groups

Let G be an infinite cyclic group. Prove that G cannot have any non-identity elements of finite order.

How to classify all the abelian groups with finite exponent?

Direct product of a finite group with an infinite symmetric group

Does there exist any uncountable group , every proper subgroup of which is countable?

Assuming the axiom of choice ,how to prove that every uncountable abelian group must have an uncountable proper subgroup?

Quotient group(Factor group)

Non-trivial group homomorphism from an infinite group to a finite group

Is there a classification of f.g. abelian-by-finite groups? [EDITED]

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