The Group Properties Wiki (pre-alpha)

TIP: Learn how to better make use of textbook references

ABOUT US: We use a Creative Commons license. All our content is free to reuse, with attribution. Learn more

ALSO CHECK OUT: Diffgeom: The Differential Geometry Wiki

Property:Stated in

From Groupprops

Jump to: navigation, search

page, number, string, string

Facts about Stated inRDF feed
Has typeThis property is a special property in this wiki.PageThis type is among the standard datatypes of this wiki., NumberThis type is among the standard datatypes of this wiki., StringThis type is among the standard datatypes of this wiki., StringThis type is among the standard datatypes of this wiki.  +

(previous 25) (next 25)

Pages using the property "Stated in"

Showing 25 pages using this property.

A

Abelian p-group with indecomposable coprime automorphism group is homocyclic +Gorenstein (?, ?, ?)  +
Associative implies generalized associative +DummitFoote (?, ?, ?)  +

B

Bryant-Kovacs theorem +HuppertBlackburnII (?, ?, ?)  +
Burnside's basis theorem +DummitFoote (?, ?, ?)  +
Burnside's theorem on coprime automorphisms and Frattini subgroup +Gorenstein (?, ?, ?)  +, DummitFoote (?, ?, ?)  +

C

Central product decomposition lemma for characteristic rank one +Gorenstein (?, ?, ?)  +
Centralizer product theorem +Gorenstein (?, ?, ?)  +
Centralizer product theorem for elementary Abelian group +Gorenstein (?, ?, ?)  +
Centralizer-commutator product decomposition +Gorenstein (?, ?, ?)  +
Characteristic implies normal +AlperinBell (?, ?, ?)  +, DummitFoote (?, ?, ?)  +, Herstein (?, ?, ?)  +,
Characteristic of normal implies normal +DummitFoote (135, Section 4.4 (''Automorphisms''), Point (3) after definition of characteristic subgroup, ?)  +, DummitFoote (137, Exercise 8(a), ?)  +, RobinsonGT (28, Section 1.5 (''Characteristic and Fully invariant subgroups''), 1.5.6(iii), ?)  +,
Characteristically metacyclic and commutator-realizable implies cyclic +DummitFoote (?, ?, ?)  +
Characteristicity is transitive +DummitFoote (137, Problem 8(b), ?)  +, AlperinBell (17, Lemma 4, ?)  +, RobinsonGT (28, Section 1.5 (''Characteristic and Fully invariant subgroups''), 1.5.6(ii), ?)  +,
Classification of cyclicity-forcing numbers +DummitFoote (149, Exercises 54-55, Section 4.5 (''Sylow's theorem''), hints given in exercise)  +
Classification of extraspecial groups +Gorenstein (?, ?, ?)  +
Classification of finite p-groups of characteristic rank one +Gorenstein (?, ?, ?)  +
Classification of finite p-groups of normal rank one +Gorenstein (?, ?, ?)  +
Classification of finite p-groups of rank one +Gorenstein (?, ?, ?)  +
Classification of finite p-groups with cyclic normal self-centralizing subgroup +Gorenstein (?, ?, ?)  +
Clifford's theorem +Gorenstein (?, ?, ?)  +
Commutator subgroup satisfies ascending chain condition on subnormal subgroups implies subnormal join property +RobinsonGT (?, ?, ?)  +
Cube map is automorphism implies Abelian +Herstein (?, ?, ?)  +
Cube map is endomorphism iff Abelian (if order is not a multiple of 3) +Herstein (?, ?, ?)  +
Cyclic Frattini quotient implies cyclic +Gorenstein (?, ?, ?)  +
Cyclic normal implies hereditarily normal +Herstein (?, ?, ?)  +
(previous 25) (next 25)
Personal tools