List questions from algebraic-groups

55

Views

Is a closed, nonempty subset of a (linear) algebraic group $G$ that is closed under taking products a subgroup of $G$?

Published on 25 Mar 2026 - 23:27

98

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Show that the identity component $G^\circ\sqsubseteq G$ (i.e., is characteristic) in a linear algebraic group $G$.

Published on 23 Feb 2026 - 5:45

252

Views

Classifiying algebraic group extensions of $\mathbb{Z}/p\mathbb{Z}$ by $\mu_p$

Published on 25 Mar 2026 - 15:22

71

Views

Classical groups generated by tensor products of subgroups

Published on 12 Jul 2023 - 20:10

144

Views

Question on the Borel subgroup of $SO(2n)(\mathbb{R})$

Published on 18 Jul 2023 - 0:04

164

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Intuition behind the spectrum of a ring or $k-$algebra.

Published on 21 Jul 2023 - 11:32

50

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Properties of a specific subgroup of $GL_2(k)$

Published on 26 Jul 2023 - 19:58

35

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Is $ G(\mathcal{O}_K[1/p]) $ dense in $ G(\mathbb{R}) $?

Published on 26 Jul 2023 - 20:07

32

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Are the integer points of a simple linear algebraic group 2-generated?

Published on 26 Jul 2023 - 21:07

86

Views

Free product of finite groups that is outside graph theory

Published on 27 Mar 2026 - 3:43

97

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Geometry of homogeneous spaces $G/T$

Published on 25 Mar 2026 - 16:08

56

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Is the category of finite flat commutative affine group scheme over a notherian ring Abelian?

Published on 03 Aug 2023 - 10:09

17

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Explicit calculation of Bala-Carter correspondence

Published on 06 Aug 2023 - 18:34

68

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More examples of non-split algebraic groups

Published on 25 Mar 2026 - 12:52

81

Views

Defining a torus $T$ a certain way, prove that $T\cong (k^*)^n$.

Published on 16 Aug 2023 - 16:09

List Question

Is a closed, nonempty subset of a (linear) algebraic group $G$ that is closed under taking products a subgroup of $G$?

Show that the identity component $G^\circ\sqsubseteq G$ (i.e., is characteristic) in a linear algebraic group $G$.

Classifiying algebraic group extensions of $\mathbb{Z}/p\mathbb{Z}$ by $\mu_p$

Classical groups generated by tensor products of subgroups

Question on the Borel subgroup of $SO(2n)(\mathbb{R})$

Intuition behind the spectrum of a ring or $k-$algebra.

Properties of a specific subgroup of $GL_2(k)$

Is $ G(\mathcal{O}_K[1/p]) $ dense in $ G(\mathbb{R}) $?

Are the integer points of a simple linear algebraic group 2-generated?

Free product of finite groups that is outside graph theory

Geometry of homogeneous spaces $G/T$

Is the category of finite flat commutative affine group scheme over a notherian ring Abelian?

Explicit calculation of Bala-Carter correspondence

More examples of non-split algebraic groups

Defining a torus $T$ a certain way, prove that $T\cong (k^*)^n$.

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