- isomorphism)
extraspecial groups of
order p1+2n.
Extraspecial groups often occur in
centralizers of involutions. The
ordinary character theory of
extraspecial groups...
- are roots. We then call ( β , γ ) {\displaystyle (\beta ,\gamma )} an
extraspecial pair of
roots if they are both
positive and β {\displaystyle \beta }...
- theorem.
Certain central extensions of
elementary abelian groups called extraspecial groups help
describe the
structure of
groups as
acting on symplectic...
-
Frobenius group. 8 12 G83 D8 Z4, Z22 (2), Z2 (5)
Dihedral group, Dih4.
Extraspecial group. Nilpotent. 13 G84 Q8 Z4 (3), Z2
Quaternion group, Hamiltonian...
-
Smith (1979, p.279)
gives a
table of
simple groups containing a
large extraspecial 2-group. Gorenstein, D. (1982),
Finite simple groups,
University Series...
- end of the
classification was in sight. 1978
Timmesfeld proves the O2
extraspecial theorem,
breaking the
classification of
groups of GF(2)-type into several...
- are an
important construction and can be used for
instance to
classify extraspecial groups.
There are
several related but
distinct notions of
central product...
-
grandly so,
inasmuch as it is
offered on the album, as
something of
extraspecial importance, and yet no one, subsequently, has,
after any thought, really...
-
lecture notes, who
showed that they are all a
central product of an
extraspecial group with a
group that is cyclic, dihedral, quasidihedral, or quaternion...
- table. The
notation 21+4−
stands for the
extraspecial group of
minus type of
order 32 (i.e. the
extraspecial group of
order 32 with an odd
number (namely...
