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I am interesting in Group Theory. I am a fan of John G. Thompson. I have collected many Thompson's published papsers. I alos hope to collect his unpublished notes, letters etc.

Aug
1
awarded  Popular Question
Aug
1
awarded  Yearling
Aug
1
comment About unpublished lecture notes of Philip Hall
It's great! I can't believe that I see these notes finally. Thank you very much!
Sep
24
awarded  Autobiographer
Jul
2
awarded  Curious
May
23
comment Does a finite simple group of order divisible by $60$ have $A_{5}$ as a subgroup?
@DerekHolt Yes, it is not sufficient. I forget the condition 60 divives the order of the groups.
May
23
comment Does a finite simple group of order divisible by $60$ have $A_{5}$ as a subgroup?
I found this paper: Michael J. J. Barry and Michael B. Ward, SIMPLE GROUPS CONTAIN MINIMAL SIMPLE GROUPS, Publicacions Matem`atiques, Vol 41 (1997), 411–415. By the answer of professor Derek Holt, only Suzuki group left.
May
23
comment Does a finite simple group of order divisible by $60$ have $A_{5}$ as a subgroup?
I remember a paper proved that each non abelian simple group contains a minimal simple group as a subgroup. So we need to check minimal simple groups.
May
29
comment about the non-solvable group of order $120$
Thank you very much for the inspiring answer.
May
13
comment about the non-solvable group of order $120$
Thank you very much, Prof. Holt.
May
13
accepted about the non-solvable group of order $120$
May
13
asked about the non-solvable group of order $120$
Mar
25
awarded  Critic
Mar
11
awarded  Yearling
Feb
24
comment Quotients of Abelian Groups
The only case that need to be considered is that $C=1$. And now the equation is $D/(A+B) \cong A \cap B$. In general, this is not true. So there need some additional restrictions.
Jan
12
comment The number of elements of order k in PGL(2, q)
@Mart: Sorry I have no reference on PGL at hand. But I think $1/2$ come from $|G:N_G(C)|$.
Jan
12
answered The number of elements of order k in PGL(2, q)
Jan
2
answered A question about minimal simple group
Dec
19
comment Reference: Finite $p$-Groups
@Prof. A. Mann. As you have given many beautiful results on $p$-groups, I fasciate your book on $p$-group. I am very glad even if I know the content of the few chapter you have written.
Dec
19
comment Reference: Finite $p$-Groups
I am also interested with the book by A Mann who do many contribution to p-groups.