Conjugacy classes in special linear groups over $mathbb{Z}/p^k$
0
$begingroup$
Let $n$ be an integer and $p^k$ a prime power.
Question: Is the number of conjugacy classes of elements in $mathrm{SL}_n(mathbb{Z}/p^k)$ known?
Remark: An answer for $n=2$ would already help me.
matrices group-theory finite-groups
edited Jan 17 at 13:00
idriskameni
749321
asked Jan 17 at 12:39
nikola karabaticnikola karabatic
101
$endgroup$
add a comment |
0
$begingroup$
Let $n$ be an integer and $p^k$ a prime power.
Question: Is the number of conjugacy classes of elements in $mathrm{SL}_n(mathbb{Z}/p^k)$ known?
Remark: An answer for $n=2$ would already help me.
matrices group-theory finite-groups
edited Jan 17 at 13:00
idriskameni
749321
asked Jan 17 at 12:39
nikola karabaticnikola karabatic
101
$endgroup$
$begingroup$
Do you mean perhaps conjugacy classes in $SL_n(Bbb F_q)$ instead? The see here.
$endgroup$
– Dietrich Burde
Jan 19 at 13:35
$begingroup$
No, I really mean $mathbb{Z}/p^k$.
$endgroup$
– nikola karabatic
Jan 21 at 9:16
add a comment |
0
0
0
1
$begingroup$
Let $n$ be an integer and $p^k$ a prime power.
Question: Is the number of conjugacy classes of elements in $mathrm{SL}_n(mathbb{Z}/p^k)$ known?
Remark: An answer for $n=2$ would already help me.
matrices group-theory finite-groups
edited Jan 17 at 13:00
idriskameni
749321
asked Jan 17 at 12:39
nikola karabaticnikola karabatic
101
$endgroup$
Let $n$ be an integer and $p^k$ a prime power.
Question: Is the number of conjugacy classes of elements in $mathrm{SL}_n(mathbb{Z}/p^k)$ known?
Remark: An answer for $n=2$ would already help me.
matrices group-theory finite-groups
matrices group-theory finite-groups
edited Jan 17 at 13:00
idriskameni
749321
asked Jan 17 at 12:39
nikola karabaticnikola karabatic
101
edited Jan 17 at 13:00
idriskameni
749321
asked Jan 17 at 12:39
nikola karabaticnikola karabatic
101
edited Jan 17 at 13:00
idriskameni
749321
edited Jan 17 at 13:00
idriskameni
749321
edited Jan 17 at 13:00
idriskameni
749321
749321
asked Jan 17 at 12:39
nikola karabaticnikola karabatic
101
asked Jan 17 at 12:39
nikola karabaticnikola karabatic
101
asked Jan 17 at 12:39
nikola karabaticnikola karabatic
101
101
$begingroup$
Do you mean perhaps conjugacy classes in $SL_n(Bbb F_q)$ instead? The see here.
$endgroup$
– Dietrich Burde
Jan 19 at 13:35
$begingroup$
No, I really mean $mathbb{Z}/p^k$.
$endgroup$
– nikola karabatic
Jan 21 at 9:16
add a comment |
$begingroup$
Do you mean perhaps conjugacy classes in $SL_n(Bbb F_q)$ instead? The see here.
$endgroup$
– Dietrich Burde
Jan 19 at 13:35
$begingroup$
No, I really mean $mathbb{Z}/p^k$.
$endgroup$
– nikola karabatic
Jan 21 at 9:16
$begingroup$
Do you mean perhaps conjugacy classes in $SL_n(Bbb F_q)$ instead? The see here.
$endgroup$
– Dietrich Burde
Jan 19 at 13:35
$begingroup$
Do you mean perhaps conjugacy classes in $SL_n(Bbb F_q)$ instead? The see here.
$endgroup$
– Dietrich Burde
Jan 19 at 13:35
$begingroup$
No, I really mean $mathbb{Z}/p^k$.
$endgroup$
– nikola karabatic
Jan 21 at 9:16
$begingroup$
No, I really mean $mathbb{Z}/p^k$.
$endgroup$
– nikola karabatic
Jan 21 at 9:16
add a comment |
0
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$begingroup$
Do you mean perhaps conjugacy classes in $SL_n(Bbb F_q)$ instead? The see here.
$endgroup$
– Dietrich Burde
Jan 19 at 13:35
$begingroup$
No, I really mean $mathbb{Z}/p^k$.
$endgroup$
– nikola karabatic
Jan 21 at 9:16