perfect group उदाहरण वाक्य

उदाहरण वाक्य

1. In most cases ( and } } ), is a perfect group and is a finite simple group,.
2. Holt and Plesken's Perfect Groups classification is missing two groups, and Sims's Primitive Groups classification switched two groups.
3. For a finite group, the derived series terminates in a perfect group, which may or may not be trivial.
4. A non-trivial finite perfect group which is not simple must then be an extension of at least one smaller simple non-abelian group.
5. From that stronger theorem Remak also proved various corollaries including that groups with a trivial center and perfect groups have a unique Remak decomposition.
6. Rosenow figures his nonprofit foundation, whose million members nationwide are dedicated to preserving trees, is a perfect group to help advance those goals in the golf world.
7. The Schur cover of a perfect group is uniquely determined up to isomorphism, but the Schur cover of a general finite group is only determined up to isoclinism.
8. A non-trivial perfect group, however, is necessarily not solvable; and 4 divides its order ( if finite ), moreover, if 8 does not divide the order, then 3 does.
9. With every perfect group " G " one can associate a ( canonical, terminal ) acyclic space, whose fundamental group is a central extension of the given group " G ".
10. A finite perfect group is superperfect if and only if it is its own universal central extension ( UCE ), as the second homology group of a perfect group parametrizes central extensions.