User Vipul Naik

41

69

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11

answers

9k

views

How has “what every mathematician should know” changed?

soft-question

Feb 4 at 14:10 Dominic van der Zypen 6,176

6

41

votes

2

answers

1k

views

Isomorphic general linear groups implies isomorphic fields?

Sep 11 '12 at 15:30 Mikhail Borovoi 4,727

35

37

votes

12

answers

8k

views

Examples of undergraduate mathematics separation from what mathematicians should know

soft-question big-list mathematics-education

Jan 11 '12 at 6:04 Ed Dean 1,845

22

34

votes

4

answers

5k

views

Fields with trivial automorphism group

fields galois-theory

Sep 26 '10 at 23:29 Gene S. Kopp 1,360

6

26

votes

2

answers

1k

views

Does every finitely presentable group have a presentation that simultaneously minimizes the number of generators and number of relators?

gr.group-theory gt.geometric-topology

May 20 '10 at 4:56 Ian Agol 36.7k

9

21

votes

10

answers

3k

views

Examples of non-abelian groups arising in nature without any natural action

gr.group-theory examples

Jul 19 '11 at 16:46 Mark Sapir 30.7k

10

19

votes

1

answer

850

views

Half or more elements order two implies generalized dihedral?

gr.group-theory

Sep 26 '10 at 17:54 Steve D 2,910

7

18

votes

0

answers

421

views

Characteristic subgroups and direct powers

gr.group-theory

Sep 13 '12 at 6:28 Amritanshu Prasad 3,327

7

18

votes

2

answers

1k

views

What invariants of a matrix or representation can be used to find its GL(n,Z)-conjugacy class?

gr.group-theory rt.representation-theory

Jul 13 '11 at 2:26 Vipul Naik 3,119

8

17

votes

2

answers

828

views

Does every finite nontrivial group have two distinct irreducible representations over the complex numbers of equal degree?

gr.group-theory

Dec 21 '13 at 21:30 Geoff Robinson 25.1k

5

16

votes

3

answers

1k

views

Betting markets for unsolved problems?

soft-question

Sep 8 '10 at 12:20 Gil Kalai 11k

3

16

votes

1

answer

677

views

Balancing problem

co.combinatorics

Jan 12 '10 at 8:30 Gjergji Zaimi 48.4k

7

15

votes

1

answer

1k

views

Interpretation of universal coefficients theorem for group cohomology

gr.group-theory group-cohomology

Nov 3 '15 at 19:10 Chris Gerig 6,890

5

15

votes

2

answers

1k

views

Order information enough to guarantee 1-isomorphism?

gr.group-theory

Jul 28 '10 at 0:24 Tom Goodwillie 34.5k

3

14

votes

4

answers

1k

views

What's the name for the analogue of divided power algebras for x^i/i?

ac.commutative-algebra noncommutative-algebra ra.rings-and-algebras

Jun 26 '12 at 16:02 Vipul Naik 3,119

6

14

votes

2

answers

910

views

Orbit structures of conjugacy class set and irreducible representation set under automorphism group

gr.group-theory rt.representation-theory

Apr 18 '10 at 2:48 Jack Schmidt 8,441

4

13

votes

2

answers

880

views

Each element of fundamental group of a topological group represented by homomorphism?

at.algebraic-topology

Jan 17 '11 at 21:51 Tom Goodwillie 34.5k

4

12

votes

2

answers

408

views

Introducing division strategically in operads to accommodate formulas like the Baker-Campbell-Hausdorff formula

lie-algebras operads

Aug 12 '13 at 22:47 Vipul Naik 3,119

1

12

votes

4

answers

2k

views

Primes p for which p - 1 has a large prime factor

nt.number-theory prime-numbers

Nov 29 '12 at 5:51 Mark Lewko 6,956

1

12

votes

6

answers

1k

views

Density of numbers having large prime divisors (formalizing heuristic probability argument)

nt.number-theory pr.probability prime-numbers

Sep 13 '10 at 5:22 Charles 4,518

4

11

votes

1

answer

368

views

Characteristic subgroup of nilpotent group that is not invariant under powering

gr.group-theory lie-algebras nilpotent-groups

Oct 18 at 4:46 YCor 14.5k

4

11

votes

3

answers

553

views

Characteristic subgroup of uniquely p-divisible group that is not uniquely p-divisible

gr.group-theory

Apr 11 '13 at 18:58 Vipul Naik 3,119

2

10

votes

1

answer

246

views

Double log ratio of number of conjugacy classes to order of group in infinite simple group families (or their corresponding Schur covers, automorphism groups)

gr.group-theory

Apr 3 '12 at 13:33 Nir 41

3

10

votes

3

answers

2k

views

Realizability of irreducible representations of dihedral groups

gr.group-theory rt.representation-theory

Jul 9 '11 at 1:06 Geoff Robinson 25.1k

2

10

votes

1

answer

373

views

Extensions isomorphic as groups but not congruent or pseudo-congruent

gr.group-theory

May 10 '11 at 3:55 Community♦ 1

4

10

votes

2

answers

1k

views

Example of Noetherian group (every subgroup is finitely generated) that is not finitely presented

gr.group-theory gt.geometric-topology

May 26 '10 at 22:20 HJRW 14.9k

3

10

votes

1

answer

2k

views

Collection of subsets closed under union and intersection

co.combinatorics set-theory

Jan 11 '10 at 18:54 Joel David Hamkins 131k

7

9

votes

7

answers

2k

views

Almost but not quite a homomorphism

gr.group-theory

Feb 9 '10 at 23:00 user1835 311

1

8

votes

2

answers

771

views

Spheres over rational numbers and other fields

linear-algebra ra.rings-and-algebras

Oct 17 '14 at 12:43 Community♦ 1

6

8

votes

1

answer

941

views

Ring of Witt vectors and p-adics

p-adic-numbers fields

Jan 8 '12 at 19:10 SGP 2,664

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69 Questions

How has “what every mathematician should know” changed?

Isomorphic general linear groups implies isomorphic fields?

Examples of undergraduate mathematics separation from what mathematicians should know

Fields with trivial automorphism group

Does every finitely presentable group have a presentation that simultaneously minimizes the number of generators and number of relators?

Examples of non-abelian groups arising in nature without any natural action

Half or more elements order two implies generalized dihedral?

Characteristic subgroups and direct powers

What invariants of a matrix or representation can be used to find its GL(n,Z)-conjugacy class?

Does every finite nontrivial group have two distinct irreducible representations over the complex numbers of equal degree?

Betting markets for unsolved problems?

Balancing problem

Interpretation of universal coefficients theorem for group cohomology

Order information enough to guarantee 1-isomorphism?

What's the name for the analogue of divided power algebras for x^i/i?

Orbit structures of conjugacy class set and irreducible representation set under automorphism group

Each element of fundamental group of a topological group represented by homomorphism?

Introducing division strategically in operads to accommodate formulas like the Baker-Campbell-Hausdorff formula

Primes p for which p - 1 has a large prime factor

Density of numbers having large prime divisors (formalizing heuristic probability argument)

Characteristic subgroup of nilpotent group that is not invariant under powering

Characteristic subgroup of uniquely p-divisible group that is not uniquely p-divisible

Double log ratio of number of conjugacy classes to order of group in infinite simple group families (or their corresponding Schur covers, automorphism groups)

Realizability of irreducible representations of dihedral groups

Extensions isomorphic as groups but not congruent or pseudo-congruent

Example of Noetherian group (every subgroup is finitely generated) that is not finitely presented

Collection of subsets closed under union and intersection

Almost but not quite a homomorphism

Spheres over rational numbers and other fields

Ring of Witt vectors and p-adics