centralizer उदाहरण वाक्य
उदाहरण वाक्य
- Another less common notation for the centralizer is Z ( " a " ), which parallels the notation for the center of a group.
- The C-groups include as special cases the CIT-groups, that are groups in which the centralizer of any involution is a 2-group.
- characterized the Rudvalis group by the centralizer of a central involution . gave another characterization as part of their identification of the Rudvalis group as one of the quasithin groups.
- Since the Fitting subgroup of a finite solvable group contains its own centralizer, this gives a method of understanding finite solvable groups as faithful automorphism groups of nilpotent groups.
- The so-called " rigidity " states that the identity component of the centralizer of a diagonalizable group coincides with the identity component of the normalizer of the group.
- From the theorem of Borel and de Siebenthal, the involution ? is inner and " K " is the centralizer of a torus " S ".
- The idea is that these groups have a centralizer of an involution with a component that is a smaller quasisimple group, which can be assumed to be already known by induction.
- So to classify these groups one takes every central extension of every known finite simple group, and finds all simple groups with a centralizer of involution with this as a component.
- If is a finite group, then for any group element, the elements in the conjugacy class of are in one-to-one correspondence with cosets of the centralizer.
- In ring theory, the "'centralizer of a subset of a ring "'is defined with respect to the semigroup ( multiplication ) operation of the ring.