User Joshua Grochow

17 votes

Accepted

In what sense is the classification of all finite groups "impossible"?

answered Mar 4, 2015 at 6:05

13 votes

Is computer algebra or symbolic computation an active area of research?

answered Aug 27, 2021 at 21:20

11 votes

Why are polynomials so useful in mathematics?

answered Jun 13, 2014 at 5:52

10 votes

Is there a way of canonically labelling permutation groups?

answered Aug 16, 2012 at 18:51

8 votes

How to compute all irreducible representations of a finite group ? (how GAP is doing this?)

answered Nov 3, 2012 at 18:20

8 votes

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Is there an algorithm known to decompose quiver representation?

answered Aug 6, 2012 at 22:14

8 votes

Why should algebraic geometers and representation theorists care about geometric complexity theory?

answered Sep 7, 2022 at 23:20

7 votes

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Factorization of polynomials into "shortest possible" factors

answered Mar 15, 2018 at 4:36

6 votes

A question about the Tannaka-Krein reconstruction of finite groups

answered Oct 11, 2019 at 23:06

6 votes

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On $XX'=I$ such that $AX=XB$ is true

answered Dec 7, 2015 at 5:17

5 votes

Smallest permutation representation of a finite group?

answered Jan 19, 2017 at 17:51

5 votes

Complexity of establishing finite groups (non)-isomorphism ?

answered Jul 18, 2022 at 18:51

5 votes

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Interesting properties of "coadjoint" orbits inside $V\in \operatorname{Rep}G$

answered Mar 23, 2022 at 23:53

5 votes

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Geometry of rings and semi-rings

answered Dec 10, 2019 at 21:01

4 votes

Can every permutation group be realized as the automorphism group of a graph (acting on a subset of the vertices)?

answered May 24, 2016 at 5:19

4 votes

How to count the number of tensors over a finite field of tensor rank $r$?

answered Apr 24, 2019 at 16:09

3 votes

The hardness of computing inverse

answered Nov 2, 2022 at 17:24

3 votes

Accepted

Which group extensions are normal?

answered Dec 3, 2015 at 4:24

3 votes

Class Separation, Oracles, Relativization

answered Aug 6, 2012 at 22:24

3 votes

Example of an unnatural isomorphism

answered Aug 14, 2013 at 17:14

3 votes

Identifying Subgroups of the Modular Group via Permutation Representations on Cosets

answered Aug 6, 2012 at 21:32

3 votes

Is the classification of finite p-groups a smooth problem?

answered Feb 9, 2014 at 2:41

2 votes

What books approach group theory through transformation/permutation groups?

answered Sep 7, 2013 at 14:17

2 votes

Asymptotic bounds on $\pi^{-1}(x)$ (inverse prime counting function)

answered Aug 2, 2013 at 16:31

2 votes

Accepted

Termination conditions for matrix Lie alebra basis generation via "P. Hall algorithm"

answered Jul 9, 2014 at 16:16

2 votes

Finite generation of stabilizers in a $G$-set

answered Jul 11, 2016 at 3:37

2 votes

Turing machines that always halt

answered Sep 30, 2016 at 22:38

2 votes

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Efficiently Generating the Convex Hulls of Two Polytopes and Counting Faces

answered Feb 15, 2016 at 17:44

2 votes

Complexity of linear solvers vs matrix inversion

answered Oct 24, 2022 at 6:53

2 votes

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Equivalence of matrices over a vector space

answered Jun 26, 2018 at 3:26

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39 Answers

In what sense is the classification of all finite groups "impossible"?

Is computer algebra or symbolic computation an active area of research?

Why are polynomials so useful in mathematics?

Is there a way of canonically labelling permutation groups?

How to compute all irreducible representations of a finite group ? (how GAP is doing this?)

Is there an algorithm known to decompose quiver representation?

Why should algebraic geometers and representation theorists care about geometric complexity theory?

Factorization of polynomials into "shortest possible" factors

A question about the Tannaka-Krein reconstruction of finite groups

On $XX'=I$ such that $AX=XB$ is true

Smallest permutation representation of a finite group?

Complexity of establishing finite groups (non)-isomorphism ?

Interesting properties of "coadjoint" orbits inside $V\in \operatorname{Rep}G$

Geometry of rings and semi-rings

Can every permutation group be realized as the automorphism group of a graph (acting on a subset of the vertices)?

How to count the number of tensors over a finite field of tensor rank $r$?

The hardness of computing inverse

Which group extensions are normal?

Class Separation, Oracles, Relativization

Example of an unnatural isomorphism

Identifying Subgroups of the Modular Group via Permutation Representations on Cosets

Is the classification of finite p-groups a smooth problem?

What books approach group theory through transformation/permutation groups?

Asymptotic bounds on $\pi^{-1}(x)$ (inverse prime counting function)

Termination conditions for matrix Lie alebra basis generation via "P. Hall algorithm"

Finite generation of stabilizers in a $G$-set

Turing machines that always halt

Efficiently Generating the Convex Hulls of Two Polytopes and Counting Faces

Complexity of linear solvers vs matrix inversion

Equivalence of matrices over a vector space