Cyclic Group Challenge

Oui ou Non

Parties jouées 3

Créer une copie

À propos de cette activité

Test your knowledge of cyclic groups and their properties! Answer whether each statement about cyclic groups is true or false. Can you distinguish the facts from the misconceptions?

Créé par

Anna Arsolon

United States

Téléchargez la version pour jouer sur papier

Top 10 résultats

#	Jeux	Précision	temps
1	Frias, Samantha Abigail B. 28 Avril 2025	% 30	00:36

Voulez-vous apparaître dans le Top 10 de ce jeu? Connectez-vous pour vous identifier.

Créez votre propre jeu gratuite à partir de notre créateur de jeu

Affrontez vos amis pour voir qui obtient le meilleur score dans ce jeu

Créer un défi

		%
	Anonyme	%
		%
		%

Imprimez votre jeu

Cyclic Group Challenge


Cyclic Group ChallengeVersion en ligne Test your knowledge of cyclic groups and their properties! Answer whether each statement about cyclic groups is true or false. Can you distinguish the facts from the misconceptions? par Anna Arsolon 1 Every cyclic group is finite. Yes No 2 Infinite cyclic groups do not cycle back or repeat elements. Yes No 3 The identity element cannot be a generator of a cyclic group. Yes No 4 The number of generators of a cyclic group of order n is given by Euler’s totient function ϕ(n). Yes No 5 The group Z_8 under addition is a finite cyclic group. Yes No 6 Every finite cyclic group has a generator. Yes No 7 Cyclic groups cannot be infinite. Yes No 8 The element 0 is always a generator of Z_(n). Yes No 9 Subgroups of a cyclic group are always cyclic. Yes No 10 A cyclic group can only have one generator. Yes No 11 The group Z under addition is an infinite cyclic group. Yes No 12 The generators of a cyclic group are always unique. Yes No 13 A cyclic group can have multiple generators. Yes No 14 Every element in a group generates the whole group. Yes No 15 The group Z under multiplication is a cyclic group. Yes No 16 The order of a generator in a cyclic group is equal to the order of the group. Yes No 17 All abelian groups are cyclic. Yes No 18 A cyclic group is always abelian. Yes No 19 Cyclic groups can have non-abelian properties. Yes No 20 A cyclic group cannot have subgroups. Yes No

Vous pouvez intégrer le jeu dans un LMS compatible avec LTI 1.1 ou LTI 1.3 comme Canvas, Moodle ou Blackboard. Les scores seront ainsi automatiquement enregistrés dans le carnet de notes de la plateforme.

Cyclic Group Challenge

Oui ou Non

À propos de cette activité

Créé par

Téléchargez la version pour jouer sur papier

Top Jeux

Oui ou Non

Adjective Checker

Oui ou Non

Grammys for best song/record

Oui ou Non

Is it true?

Oui ou Non

Is it created with Artificial Intelligence? - Complete game

Oui ou Non

Foot and Ankle Anatomy Quiz

Cyclic Group ChallengeVersion en ligne

par Anna Arsolon

Every cyclic group is finite.

Infinite cyclic groups do not cycle back or repeat elements.

The identity element cannot be a generator of a cyclic group.

The number of generators of a cyclic group of order n is given by Euler’s totient function ϕ(n).

The group Z_8 under addition is a finite cyclic group.

Every finite cyclic group has a generator.

Cyclic groups cannot be infinite.

The element 0 is always a generator of Z_(n).

Subgroups of a cyclic group are always cyclic.

A cyclic group can only have one generator.

The group Z under addition is an infinite cyclic group.

The generators of a cyclic group are always unique.

A cyclic group can have multiple generators.

Every element in a group generates the whole group.

The group Z under multiplication is a cyclic group.

The order of a generator in a cyclic group is equal to the order of the group.

All abelian groups are cyclic.

A cyclic group is always abelian.

Cyclic groups can have non-abelian properties.

A cyclic group cannot have subgroups.