Faster access than browser!Similarities between List of group theory topics and Quasisimple group
List of group theory topics and Quasisimple group have 14 things in common (in Unionpedia): Automorphism, Center (group theory), Commutator, Commutator subgroup, Fitting subgroup, Group extension, Inner automorphism, Normal subgroup, Perfect group, Projective representation, Reductive group, Schur multiplier, Simple group, Solvable group.
Automorphism
In mathematics, an automorphism is an isomorphism from a mathematical object to itself.
Automorphism and List of group theory topics · Automorphism and Quasisimple group ·
Center (group theory)
In abstract algebra, the center of a group,, is the set of elements that commute with every element of.
Center (group theory) and List of group theory topics · Center (group theory) and Quasisimple group ·
Commutator
In mathematics, the commutator gives an indication of the extent to which a certain binary operation fails to be commutative.
Commutator and List of group theory topics · Commutator and Quasisimple group ·
Commutator subgroup
In mathematics, more specifically in abstract algebra, the commutator subgroup or derived subgroup of a group is the subgroup generated by all the commutators of the group.
Commutator subgroup and List of group theory topics · Commutator subgroup and Quasisimple group ·
Fitting subgroup
In mathematics, especially in the area of algebra known as group theory, the Fitting subgroup F of a finite group G, named after Hans Fitting, is the unique largest normal nilpotent subgroup of G. Intuitively, it represents the smallest subgroup which "controls" the structure of G when G is solvable.
Fitting subgroup and List of group theory topics · Fitting subgroup and Quasisimple group ·
Group extension
In mathematics, a group extension is a general means of describing a group in terms of a particular normal subgroup and quotient group.
Group extension and List of group theory topics · Group extension and Quasisimple group ·
Inner automorphism
In abstract algebra an inner automorphism is an automorphism of a group, ring, or algebra given by the conjugation action of a fixed element, called the conjugating element.
Inner automorphism and List of group theory topics · Inner automorphism and Quasisimple group ·
Normal subgroup
In abstract algebra, a normal subgroup is a subgroup which is invariant under conjugation by members of the group of which it is a part.
List of group theory topics and Normal subgroup · Normal subgroup and Quasisimple group ·
Perfect group
In mathematics, more specifically in the area of modern algebra known as group theory, a group is said to be perfect if it equals its own commutator subgroup, or equivalently, if the group has no nontrivial abelian quotients (equivalently, its abelianization, which is the universal abelian quotient, is trivial).
List of group theory topics and Perfect group · Perfect group and Quasisimple group ·
Projective representation
In the field of representation theory in mathematics, a projective representation of a group G on a vector space V over a field F is a group homomorphism from G to the projective linear group where GL(V) is the general linear group of invertible linear transformations of V over F, and F∗ is the normal subgroup consisting of nonzero scalar multiples of the identity; scalar transformations). In more concrete terms, a projective representation is a collection of operators \rho(g),\, g\in G, where it is understood that each \rho(g) is only defined up to multiplication by a constant. These should satisfy the homomorphism property up to a constant: for some constants c(g,h). Since each \rho(g) is only defined up to a constant anyway, it does not strictly speaking make sense to ask whether the constants c(g,h) are equal to 1. Nevertheless, one can ask whether it is possible to choose a particular representative of each family \rho(g) of operators in such a way that the \rho(g)'s satisfy the homomorphism property on the nose, not just up to a constant. If such a choice is possible, we say that \rho can be "de-projectivized," or that \rho can be "lifted to an ordinary representation." This possibility is discussed further below.
List of group theory topics and Projective representation · Projective representation and Quasisimple group ·
Reductive group
In mathematics, a reductive group is a type of linear algebraic group over a field.
List of group theory topics and Reductive group · Quasisimple group and Reductive group ·
Schur multiplier
In mathematical group theory, the Schur multiplier or Schur multiplicator is the second homology group H2(G, Z) of a group G. It was introduced by in his work on projective representations.
List of group theory topics and Schur multiplier · Quasisimple group and Schur multiplier ·
Simple group
In mathematics, a simple group is a nontrivial group whose only normal subgroups are the trivial group and the group itself.
List of group theory topics and Simple group · Quasisimple group and Simple group ·
Solvable group
In mathematics, more specifically in the field of group theory, a solvable group or soluble group is a group that can be constructed from abelian groups using extensions.
List of group theory topics and Solvable group · Quasisimple group and Solvable group ·
The list above answers the following questions
- What List of group theory topics and Quasisimple group have in common
- What are the similarities between List of group theory topics and Quasisimple group
List of group theory topics and Quasisimple group Comparison
List of group theory topics has 280 relations, while Quasisimple group has 24. As they have in common 14, the Jaccard index is 4.61% = 14 / (280 + 24).
References
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