Derek Holt's user avatar
Derek Holt's user avatar
Derek Holt's user avatar
Derek Holt
  • Member for 13 years, 5 months
  • Last seen this week
46 votes

How much of the ATLAS of finite groups is independently checked and/or computer verified?

43 votes
Accepted

Does a finite simple group of order divisible by $60$ have $A_{5}$ as a subgroup?

40 votes

How many square roots can a non-identity element in a group have?

34 votes
Accepted

Are there any nontrivial ring homomorphisms $M_{n+1}(R)\rightarrow M_n(R)$?

32 votes
Accepted

"Squeezing" a finite group between symmetric groups

26 votes
Accepted

When is $S_n \times S_m$ a subgroup of $S_p$?

26 votes
Accepted

Algorithm to check is representation irreducible ? Algorithm to decompose the reducible one ?

26 votes
Accepted

Are there any computational problems in groups that are harder than P?

25 votes

How large can the smallest generating set of a group $G$ of order $n$ be?

24 votes
Accepted

What is this quotient of the triangle 2-3-7 group?

24 votes

Groups which maintain all their subgroups’ automorphisms as inner automorphisms

23 votes
Accepted

A finite 2-group containing the dihedral group of order 16?

23 votes
Accepted

Non-isomorphic finite simple groups

22 votes
Accepted

Number of positions of Rubik's cube grows with multiplier 13 with the distance - what are explanations and groups with similar growth pattern?

22 votes
Accepted

If the center of a finite group is trivial, are there two elements whose centralizers intersect trivially?

20 votes

Does the symmetric group $S_{10}$ factor as a knit product of symmetric subgroups $S_6$ and $S_7$?

20 votes
Accepted

Minimal generating sets of groups

20 votes
Accepted

Is the Normal centralizer problem in P?

19 votes

Order of elements

19 votes
Accepted

Is every finite $d$-dimensional matrix group generated by $d$ elements?

18 votes
Accepted

Is it possible for a direct product to be isomorphic to the Zappa–Szép product?

18 votes

embeddings of finite group into permutation groups

18 votes

Simplicity of infinite groups

18 votes
Accepted

Group which "resembles" the free product of a cyclic group of order two and a cyclic group of order three, but isn't.

18 votes
Accepted

How to generate all finite groups of order n?

18 votes
Accepted

Generating the symplectic group

18 votes

Subgroups of alternating group conjugate in symmetric group conjugate in alternating group?

18 votes
Accepted

Ore's Conjecture for perfect groups

17 votes
Accepted

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

17 votes
Accepted

Group theory conjecture on hurwitz groups

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