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Orbits of Special Linear Group acting on $\mathbb{C}^n$

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#group-theory #complex-numbers #group-actions #linear-groups
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Find a finite generating set for $Gl(n,\mathbb{Z})$

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#abstract-algebra #matrices #group-theory #finite-groups #linear-groups
336
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Exercise 4.7.8 Dixon-Mortimer "Permutation groups".

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#group-theory #finite-groups #finite-fields #linear-groups
79
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If $k$ is element of kernel of mapping $ f$, should it always be $f(k) = 0$?

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#abstract-algebra #vector-spaces #determinant #linear-groups
320
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How to determine the homotopy class of a given path in $GL^+(n,\mathbb{R})$

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#algebraic-topology #lie-groups #homotopy-theory #fundamental-groups #linear-groups
2.4k
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Find orbits of the group action of $GL(n, F)$ on set of $n \times n$ matrices

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#abstract-algebra #matrices #linear-groups
185
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Does $GL_2(\Bbb Z_3)$ have a normal subgroup of order 8, or 16?

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#abstract-algebra #group-theory #normal-subgroups #linear-groups
87
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What are "angles" in dimension $>2$ really called?

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#linear-algebra #group-theory #geometry #terminology #linear-groups
52
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Does this vector have an accepted name?

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#geometry #terminology #determinant #inner-products #linear-groups
169
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Confusion with notions of reducibility of representations

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#group-theory #category-theory #representation-theory #linear-groups
348
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Jordan form of an orthogonal matrix

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#linear-algebra #matrices #lie-groups #jordan-normal-form #linear-groups
154
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Are $S^1$ and $O_2(\mathbb{R})$ isomorphic?

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#linear-algebra #group-theory #linear-groups
44
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Hyperplanes in $SL_2(\mathbb{R})$ containing conjugacy classes of matrices

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#group-theory #algebraic-geometry #invariant-theory #linear-groups
200
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Are normal subgroups of a matrix group a matrix group?

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#lie-algebras #linear-groups
55
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why square matrix is group for multipy

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#matrices #group-theory #linear-groups

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