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Derek Holt

warwick.ac.uk/~mareg

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18
When does every group with order divisible by $n$ have a subgroup of order $n$?
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15
Can $G≅H$ and $G≇H$ in two different views?
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11
Is it “often known” how to compute a list of groups?
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11
Number of subgroups of prime order
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10
Is there a way to classify groups up to isomorphism?
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10
Is there a nontrivial semidirect product of two groups isomorphic to their direct product?
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10
If subgroups are preserved under preimages, is it necessarily a homomorphism?
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9
The word problem for finite groups
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9
normal subgroups of infinite symmetric group
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8
Derived Subgroups and Commutators
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8
No simple group of order 300
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8
Abelian subgroups of p-groups
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8
Algorithm to find conjugacy classes of subgroups/elements (in matrix groups)?
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8
What is ${\rm Aut}(G^n)$?
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7
Automorphisms of projective special linear group
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7
Applications of the wreath product?
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7
Example of a group
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7
A question about free groups and extensions
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7
What are the least sets of generators for $S_n$
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7
An Exercise of Finite Groups
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7
On order automorphisms group of a finite group
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6
Working out a Group Presentation
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6
How to prove a permutation group of degree n can be generated by (at most) n-1 elements?
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6
Group acting nilpotently on another group
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6
2-transitive action on vector space of char. 2
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6
Only a solvable group can have 3 Sylow p-subgroups
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6
Order of the centralizer of a permutation
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6
Groups satisfying the normalizer condition
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6
Searching for a $1/2$ -transitive group
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6
Algorithm for a conjugating matrix?
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