Question

Is the number of finite subgroups of a finite-by-cyclic group finite?

score 116 · Answer 1 · 2026-03-29 18:33:28

116

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Is the number of finite subgroups of a finite-by-cyclic group finite?

Published on 29 Mar 2026 - 18:33

score 42 · Answer 2 · 2026-02-23 22:24:13

42

Views

What is the reason in each of these subgroups of order $2^n$, each element's lower $n$ bits are distinct & form all possible $4$-bit patterns?

Published on 23 Feb 2026 - 22:24

score 173 · Answer 3 · 2022-08-25 19:47:26

173

Views

Yet another proof of the Abelianess of groups of order $255$?

Published on 25 Aug 2022 - 19:47

score 137 · Answer 4 · 2026-03-28 11:12:36

137

Views

What is the most efficient way to compute cyclic permutation compositions?

Published on 28 Mar 2026 - 11:12

score 91 · Answer 5 · 2022-08-30 10:50:40

91

Views

$G$ is additive group $\bmod {88}$. $f$ is known element of subgroup order $8$. Proof that lowest 3 bits of $x$ can be inferred from $xf \bmod 88$.

Published on 30 Aug 2022 - 10:50

score 108 · Answer 6 · 2022-08-31 12:43:58

108

Views

Do there exist cyclic groups that are continuous/uncountable over an interval?

Published on 31 Aug 2022 - 12:43

score 53 · Answer 7 · 2022-09-01 10:19:23

Proof of Cyclic Group $G$ of order $np$ ($p$ is a prime), scalar multiplying any element of $G$ by $n$ gives an element of prime order subgroup.

score 79 · Answer 8 · 2026-04-05 21:50:12

79

Views

Let $G$ be a finite group with prime order $p$ and $H$ a finite group of prime order $q$. How many homomorphisms $f: G \to H$ are there?

Published on 05 Apr 2026 - 21:50

score 110 · Answer 9 · 2026-03-29 18:33:25

110

Views

Prove that the quotient of the following groups $G/H$ is the cyclic group of order 4

Published on 29 Mar 2026 - 18:33

score 299 · Answer 10 · 2026-03-25 23:35:09

299

Views

Highly polytopic algebras

Published on 25 Mar 2026 - 23:35

score 513 · Answer 11 · 2022-09-12 05:41:34

513

Views

Question on proof that two cyclic groups of the same order are isomorphic

Published on 12 Sep 2022 - 5:41

score 104 · Answer 12 · 2026-03-26 01:12:45

104

Views

Is there a way to calculate the exact birthdate of a person based on a series of dates and ages?

Published on 26 Mar 2026 - 1:12

score 44 · Answer 13 · 2022-09-17 01:46:16

44

Views

Equality between side classes with a finite and infinite cyclic quotient group

Published on 17 Sep 2022 - 1:46

score 209 · Answer 14 · 2022-09-17 12:57:52

209

Views

Show that every commutative group of order 6 is cyclic

Published on 17 Sep 2022 - 12:57

score 48 · Answer 15 · 2022-09-21 03:01:33

48

Views

Cyclic Subgroups of $\Bbb Z_6$

Published on 21 Sep 2022 - 3:01

List Question

Is the number of finite subgroups of a finite-by-cyclic group finite?

What is the reason in each of these subgroups of order $2^n$, each element's lower $n$ bits are distinct & form all possible $4$-bit patterns?

Yet another proof of the Abelianess of groups of order $255$?

What is the most efficient way to compute cyclic permutation compositions?

$G$ is additive group $\bmod {88}$. $f$ is known element of subgroup order $8$. Proof that lowest 3 bits of $x$ can be inferred from $xf \bmod 88$.

Do there exist cyclic groups that are continuous/uncountable over an interval?

Proof of Cyclic Group $G$ of order $np$ ($p$ is a prime), scalar multiplying any element of $G$ by $n$ gives an element of prime order subgroup.

Let $G$ be a finite group with prime order $p$ and $H$ a finite group of prime order $q$. How many homomorphisms $f: G \to H$ are there?

Prove that the quotient of the following groups $G/H$ is the cyclic group of order 4

Highly polytopic algebras

Question on proof that two cyclic groups of the same order are isomorphic

Is there a way to calculate the exact birthdate of a person based on a series of dates and ages?

Equality between side classes with a finite and infinite cyclic quotient group

Show that every commutative group of order 6 is cyclic

Cyclic Subgroups of $\Bbb Z_6$

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