Metadata
Mathematics Undergraduate Remember Easy-
Subject
Mathematics
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Education level
Undergraduate
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Cognitive goals
Remember
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Difficulty estimate
Easy
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Tags
group theory, subgroup, cyclic group, element order, abstract algebra
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Number of questions
5
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Created on
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Generation source
Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini
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License
CC0 Public domain
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Prompt
Assess students' ability to recall and state formal definitions of a group, subgroup, cyclic group, and the order of an element; identify simple examples (e.g., Z, Zn, small permutation groups), verify subgroup criteria for given subsets, determine whether a group is cyclic, and compute element orders in elementary cases.
Review & Revise
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%
Mock data used for demo purposes.