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
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