D8 - Revision history

Charles Eaton at 16:54, 18 December 2018

2018-12-18T16:54:30Z

Charles Eaton: Undo revision 771 by Charles Eaton (talk)

2018-12-18T16:52:11Z

Undo revision 771 by Charles Eaton (talk)

Charles Eaton at 16:51, 18 December 2018

2018-12-18T16:51:41Z

Charles Eaton at 16:42, 18 December 2018

2018-12-18T16:42:51Z

Charles Eaton at 08:29, 1 November 2018

2018-11-01T08:29:50Z

Charles Eaton: Removed under construction label

2018-10-04T21:15:17Z

Removed under construction label

Charles Eaton at 14:07, 4 October 2018

2018-10-04T14:07:07Z

Charles Eaton at 15:27, 26 September 2018

2018-09-26T15:27:16Z

Charles Eaton: Added lifting column and NOTITLE

2018-09-15T08:11:54Z

Added lifting column and __NOTITLE__

Charles Eaton: Added links

2018-09-09T20:44:55Z

Added links

@@ Line 3: / Line 3: @@
 == Blocks with defect group <math>D_8</math> ==
-These are examples of [[Tame blocks|tame blocks]] and were first classified over <math>k</math> by Erdmann (see [[References|[Er87] ]]). The classification with respect to <math>\mathcal{O}</math> is still unknown.
+These are examples of [[Tame blocks|tame blocks]] and were first classified over <math>k</math> by Erdmann (see [[References#E|[Er87] ]]). The classification with respect to <math>\mathcal{O}</math> is still unknown.
@@ Line 36: / Line 36: @@
 [[M(8,3,2)]] and [[M(8,3,3)]] are derived equivalent over <math>k</math> by [[References#H|[Ho97] ]].
-[[M(8,3,4)]], [[M(8,3,5)]] and [[M(8,3,6)]] are derived equivalent over <math>k</math> by [[References|[Li94b] ]].
+[[M(8,3,4)]], [[M(8,3,5)]] and [[M(8,3,6)]] are derived equivalent over <math>k</math> by [[References#L|[Li94b] ]].

@@ Line 34: / Line 34: @@
 |}
-[[M(8,3,2)]] and [[M(8,3,3)]] are derived equivalent over <math>k</math> by [[References#Ho97|[Ho97] ]].
+[[M(8,3,2)]] and [[M(8,3,3)]] are derived equivalent over <math>k</math> by [[References#H|[Ho97] ]].
 [[M(8,3,4)]], [[M(8,3,5)]] and [[M(8,3,6)]] are derived equivalent over <math>k</math> by [[References|[Li94b] ]].

@@ Line 34: / Line 34: @@
 |}
-[[M(8,3,2)]] and [[M(8,3,3)]] are derived equivalent over <math>k</math> by [[References#H|[Ho97] ]].
+[[M(8,3,2)]] and [[M(8,3,3)]] are derived equivalent over <math>k</math> by [[References#Ho97|[Ho97] ]].
 [[M(8,3,4)]], [[M(8,3,5)]] and [[M(8,3,6)]] are derived equivalent over <math>k</math> by [[References|[Li94b] ]].

@@ Line 34: / Line 34: @@
 |}
-[[M(8,3,2)]] and [[M(8,3,3)]] are derived equivalent over <math>k</math> by [[References|[Ho97] ]].
+[[M(8,3,2)]] and [[M(8,3,3)]] are derived equivalent over <math>k</math> by [[References#H|[Ho97] ]].
 [[M(8,3,4)]], [[M(8,3,5)]] and [[M(8,3,6)]] are derived equivalent over <math>k</math> by [[References|[Li94b] ]].

@@ Line 21: / Line 21: @@
 |-
-|[[M(8,3,1)]] || <math>k(D_8)</math> || 1 ||5 ||1 ||<math>1</math> || || || ||1 ||
+|[[M(8,3,1)]] || <math>kD_8</math> || 1 ||5 ||1 ||<math>1</math> || || || ||1 ||
 |-
 |[[M(8,3,2)]] || <math>B_0(kPGL_2(5))</math> || ? ||5 ||2 ||<math>1</math> || || || ||1 || <math>D(2 {\cal A})</math>

← Older revision		Revision as of 21:15, 4 October 2018
Line 2:		Line 2:

	== Blocks with defect group <math>D_8</math> ==		== Blocks with defect group <math>D_8</math> ==
−
−	~~[[Image:under-construction.png\|50px\|left]]~~

	These are examples of [[Tame blocks\|tame blocks]] and were first classified over <math>k</math> by Erdmann (see [[References\|[Er87] ]]). The classification with respect to <math>\mathcal{O}</math> is still unknown.		These are examples of [[Tame blocks\|tame blocks]] and were first classified over <math>k</math> by Erdmann (see [[References\|[Er87] ]]). The classification with respect to <math>\mathcal{O}</math> is still unknown.

← Older revision		Revision as of 15:27, 26 September 2018
Line 2:		Line 2:

	== Blocks with defect group <math>D_8</math> ==		== Blocks with defect group <math>D_8</math> ==
		+
		+	[[Image:under-construction.png\|50px\|left]]

	These are examples of [[Tame blocks\|tame blocks]] and were first classified over <math>k</math> by Erdmann (see [[References\|[Er87] ]]). The classification with respect to <math>\mathcal{O}</math> is still unknown.		These are examples of [[Tame blocks\|tame blocks]] and were first classified over <math>k</math> by Erdmann (see [[References\|[Er87] ]]). The classification with respect to <math>\mathcal{O}</math> is still unknown.

@@ Line 1: / Line 1: @@
 == Blocks with defect group <math>D_8</math> ==
@@ Line 8: / Line 10: @@
 ! scope="col"| Class
 ! scope="col"| Representative
 ! scope="col"| <math>k(B)</math>
 ! scope="col"| <math>l(B)</math>
@@ Line 18: / Line 21: @@
 |-
-|[[M(8,3,1)]] || <math>k(D_8)</math> ||5 ||1 ||<math>1</math> || || || ||1 ||
+|[[M(8,3,1)]] || <math>k(D_8)</math> || 1 ||5 ||1 ||<math>1</math> || || || ||1 ||
 |-
-|[[M(8,3,2)]] || <math>B_0(kPGL_2(5))</math> ||5 ||2 ||<math>1</math> || || || ||1 || <math>D(2 {\cal A})</math>
+|[[M(8,3,2)]] || <math>B_0(kPGL_2(5))</math> || ? ||5 ||2 ||<math>1</math> || || || ||1 || <math>D(2 {\cal A})</math>
 |-
-|[[M(8,3,3)]] || <math>kS_4</math> ||5 ||2 ||<math>1</math> || || || ||1 || <math>D(2 {\cal B})</math>
+|[[M(8,3,3)]] || <math>kS_4</math> || ? ||5 ||2 ||<math>1</math> || || || ||1 || <math>D(2 {\cal B})</math>
 |-
-|[[M(8,3,4)]] || <math>B_0(kPSL_2(9))</math> ||5 ||3 ||<math>1</math> || || || ||1 || <math>D(3 {\cal A})_1</math>
+|[[M(8,3,4)]] || <math>B_0(kPSL_2(9))</math> || ? ||5 ||3 ||<math>1</math> || || || ||1 || <math>D(3 {\cal A})_1</math>
 |-
-|[[M(8,3,5)]] || <math>B_0(kA_7)</math> ||5 ||3 ||<math>1</math> || || || ||1 || <math>D(3 {\cal B})_1</math>
+|[[M(8,3,5)]] || <math>B_0(kA_7)</math> || ? ||5 ||3 ||<math>1</math> || || || ||1 || <math>D(3 {\cal B})_1</math>
 |-
-|[[M(8,3,6)]] || <math>B_0(kPSL_2(7))</math> ||5 ||3 ||<math>1</math> || || || ||1 || <math>D(3 {\cal K})</math>
+|[[M(8,3,6)]] || <math>B_0(kPSL_2(7))</math> || ? ||5 ||3 ||<math>1</math> || || || ||1 || <math>D(3 {\cal K})</math>
 |}

@@ Line 18: / Line 18: @@
 |-
-|<math>M(8,3,1)</math> || <math>k(D_8)</math> ||5 ||1 ||<math>1</math> || || || ||1 ||
+|[[M(8,3,1)]] || <math>k(D_8)</math> ||5 ||1 ||<math>1</math> || || || ||1 ||
 |-
-|<math>M(8,3,2)</math> || <math>B_0(kPGL_2(5))</math> ||5 ||2 ||<math>1</math> || || || ||1 || <math>D(2 {\cal A})</math>
+|[[M(8,3,2)]] || <math>B_0(kPGL_2(5))</math> ||5 ||2 ||<math>1</math> || || || ||1 || <math>D(2 {\cal A})</math>
 |-
-|<math>M(8,3,3)</math> || <math>kS_4</math> ||5 ||2 ||<math>1</math> || || || ||1 || <math>D(2 {\cal B})</math>
+|[[M(8,3,3)]] || <math>kS_4</math> ||5 ||2 ||<math>1</math> || || || ||1 || <math>D(2 {\cal B})</math>
 |-
-|<math>M(8,3,4)</math> || <math>B_0(kPSL_2(9))</math> ||5 ||3 ||<math>1</math> || || || ||1 || <math>D(3 {\cal A})_1</math>
+|[[M(8,3,4)]] || <math>B_0(kPSL_2(9))</math> ||5 ||3 ||<math>1</math> || || || ||1 || <math>D(3 {\cal A})_1</math>
 |-
-|<math>M(8,3,5)</math> || <math>B_0(kA_7)</math> ||5 ||3 ||<math>1</math> || || || ||1 || <math>D(3 {\cal B})_1</math>
+|[[M(8,3,5)]] || <math>B_0(kA_7)</math> ||5 ||3 ||<math>1</math> || || || ||1 || <math>D(3 {\cal B})_1</math>
 |-
-|<math>M(8,3,6)</math> || <math>B_0(kPSL_2(7))</math> ||5 ||3 ||<math>1</math> || || || ||1 || <math>D(3 {\cal K})</math>
+|[[M(8,3,6)]] || <math>B_0(kPSL_2(7))</math> ||5 ||3 ||<math>1</math> || || || ||1 || <math>D(3 {\cal K})</math>
 |}
-<math>M(8,3,2)</math>, <math>M(8,3,3)</math> and <math>M(8,3,4)</math> are derived equivalent over <math>k</math> by [[References|[Ho97] ]].
+[[M(8,3,2)]], [[M(8,3,3)]] and [[M(8,3,4)]] are derived equivalent over <math>k</math> by [[References|[Ho97] ]].
-<math>M(8,3,4)</math>, <math>M(8,3,5)</math> and <math>M(8,3,6)</math> are derived equivalent over <math>k</math> by [[References|[Li94b] ]].
+[[M(8,3,4)]], [[M(8,3,5)]] and [[M(8,3,6)]] are derived equivalent over <math>k</math> by [[References|[Li94b] ]].