Definition of Supersolvable. Meaning of Supersolvable. Synonyms of Supersolvable

- a group is supersolvable (or supersoluble) if it has an invariant normal series where all the factors are cyclic groups. Supersolvability is stronger...
- uncountable groups are not supersolvable. In fact, all supersolvable groups are finitely generated, and an abelian group is supersolvable if and only if it is...
- In mathematics, a supersolvable lattice is a graded lattice that has a maximal chain of elements, each of which obeys a certain modularity relationship...
- In mathematics, a supersolvable arrangement is a hyperplane arrangement that has a maximal flag consisting of modular elements. Equivalently, the intersection...
- specifically (for partitions of a finite set) it is a geometric and supersolvable lattice. The partition lattice of a 4-element set has 15 elements and...
- supersolvable group is a CLT group. However, there exist solvable groups that are not CLT (for example, A4) and CLT groups that are not supersolvable...
- Armstrong (2009) studied antimatroids which are also supersolvable lattices. A supersolvable antimatroid is defined by a totally ordered collection...
- orders must commute. It is also true that finite nilpotent groups are supersolvable. The concept is credited to work in the 1930s by Russian mathematician...
- only finite groups are considered. A monomial group is solvable. Every supersolvable group and every solvable A-group is a monomial group. Factor groups...
- / N {\displaystyle G/N} is also cyclic. Metacyclic groups are both supersolvable and metabelian. Any cyclic group is metacyclic. The direct product or...