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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About unpublished lecture notes of Philip Hall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. |