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15
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What is the group generated by all reflections around arbitrary lines in 3D space?

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#linear-transformations #linear-groups
19
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Identifying Particular Matrix Ring

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#linear-algebra #ring-theory #linear-groups
65
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U(n) is compact and algebraic, but not abelian—why not a contradiction?

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#abelian-varieties #linear-groups #compact-manifolds
69
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Semilinear subgroup $\Gamma L(1,2^n)$ of group $GL(n,2)$

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#group-theory #linear-groups
16
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Describe the double coset $H_1QH_1$ in $SO_3$ geometrically.

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#linear-groups
79
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Number of homomorphisms from $\Bbb Z_p$ to $\operatorname{GL}_2(\Bbb Z_q)$?

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#linear-algebra #abstract-algebra #group-theory #linear-groups #general-linear-group
33
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the hardness of Conjugacy Search Problem in matrix groups

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#cryptography #linear-groups
62
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Rational representations and Chevalley bases

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#representation-theory #algebraic-groups #linear-groups
124
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Prove that $\operatorname{GL}_n(k)$ and $\operatorname{SL}_n(k)$ cannot be symmetric group?

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#abstract-algebra #group-theory #linear-groups #general-linear-group
176
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When is general linear group isomorphic to special linear group?

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#abstract-algebra #group-theory #group-isomorphism #linear-groups
108
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Proving certain triangle groups are infinite

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#group-theory #finite-groups #infinite-groups #combinatorial-group-theory #linear-groups
34
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Showing that two orbit spaces are isomorphic

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#group-theory #group-actions #orthogonal-matrices #linear-groups
20
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Injectivity of special orthogonal group

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#modules #injective-module #linear-groups
96
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Prove that every finite subgroup of $SL_2(\mathbb{C})$ is conjugate to a finite subgroup of $SU_2$

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#group-theory #lie-groups #linear-groups
106
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Generators for ${\rm SL}_2(\mathbb{Z}/8\mathbb{Z})$

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#abstract-algebra #group-theory #number-theory #linear-groups

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