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Recent questions tagged abelian-group

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Discrete Math Exam
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CMI 2025 | Mathematics | Part A | Question: 4
Let $k$ be a finite field of characteristic $p>2$ and $G$ the subgroup of $\mathrm{GL}_{2}(k)$ consisting of all matrices whose first column is $\left[\begin{array}{l}1 \...
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TIFR Mathematics 2025 | Part B | Question: 2
There are exactly $10$ abelian groups of order $2025$, up to isomorphism.
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UGC NET CSE | June 2008 | Part 2 | Question: 4
The set of positive integers under the operation of ordinary multiplication is :not a monoidnot a groupa groupan Abelian group
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GO Classes 2024 | IIITH Mock Test 4 | Question: 29
Which of the following is/are correct? (Mark all the appropriate choices)If $G$ is an abelian group of order $36,G$ has an element of order $3$.If $G$ is an abelian group...
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Testbook set theory question for abelian group and generators
Given:Statement A: All cyclic groups are an abelian group.Statement B: The order of the cyclic group is the same as the order of its generator.1A and B are false2A is tru...
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