Conjectures

December 2001

- (BJT conjecture) Every subgroup of a finite group which has index 2 in is a normal subgroup of
- (CEK corollary) The subgroup of all rotations of is a normal subgroup of
- (9-conjecture) The commutator subgroup of any group is normal.
- (7-conjecture) The center of any group is normal.
- (6-conjecture) Let be odd, and let be the commutator subgroup of Then
- (DJKT conjecture) Let be even and let be the commutator subgroup of Then
- (Kevin's conjecture) Let be even and let be the subgroup of consisting of the identity and the 180 rotation. Then is normal in and

Students who contributed the conjectures:

- BJT: Brian, Jon, Tege
- CEK: Charlie, Erika, Kevin
- DJKT: Dale, Jon, Kevin, Tege
- 9: Brian, Charlie, Dale, Jean-Marc, Jon, Kevin, Krista, Otto, Tege
- 7: Brian, Charlie, Dale, Jean-Marc, Kevin, Krista, Otto
- 6: Erica, Jon, Kevin, Krista, Otto, Tege