Definition of Extraspecial. Meaning of Extraspecial. Synonyms of Extraspecial

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Definition of Extraspecial

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Meaning of Extraspecial from wikipedia

- 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 }...
- Smith (1979, p.279) gives a table of simple groups containing a large extraspecial 2-group. Gorenstein, D. (1982), Finite simple groups, University Series...
- 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...
- 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...
- theorem. Certain central extensions of elementary abelian groups called extraspecial groups help describe the structure of groups as acting on symplectic...
- 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...
- 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...
- are an important construction and can be used for instance to classify extraspecial groups. There are several related but distinct notions of central product...
- 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...