Math 441 - Abstract Algebra - Problem - TheSpecialLinearGroupIsASubgroupOfTheGeneralLinearGroup

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Problem 71 (The Special Linear Group Is A Subgroup Of The General Linear Group)

Prove that $\text{SL}(m,\mathbb{Z}_n)$ is a subgroup of $\text{GL}(m,\mathbb{Z}_n)$. Why is the set of matrices whose determinant equals 2 not a subgroup of the general linear group?

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Problem.TheSpecialLinearGroupIsASubgroupOfTheGeneralLinearGroup
Schedule.20161109
Schedule.20171108
Schedule.20171110
Schedule.AllProblems
Solution.TheSpecialLinearGroupIsASubgroupOfTheGeneralLinearGroupMikai

Solution.TheSpecialLinearGroupIsASubgroupOfTheGeneralLinearGroupMikai

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HomePage Current Problems All Problems Pictures ProblemsByWeek List of Problems List of Definitions List of Theorems List of Conjectures All Recent changes (use this to find a page that may have been lost)	Problem The Special Linear Group Is A Subgroup Of The General Linear Group Please Login to access more options. Problem 71 (The Special Linear Group Is A Subgroup Of The General Linear Group) Prove that $\text{SL}(m,\mathbb{Z}_n)$ is a subgroup of $\text{GL}(m,\mathbb{Z}_n)$. Why is the set of matrices whose determinant equals 2 not a subgroup of the general linear group? The following pages link to this page. Problem.TheSpecialLinearGroupIsASubgroupOfTheGeneralLinearGroup Schedule.20161109 Schedule.20171108 Schedule.20171110 Schedule.AllProblems Solution.TheSpecialLinearGroupIsASubgroupOfTheGeneralLinearGroupMikai Solution.TheSpecialLinearGroupIsASubgroupOfTheGeneralLinearGroupMikai Edit Page History Source Attach File Backlinks List Group Page last modified on November 20, 2019, at 01:03 PM
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