About: Class of groups

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Class of groups Goto Sponge NotDistinct Permalink

An Entity of Type : dbo:Book, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FClass_of_groups&invfp=IFP_OFF&sas=SAME_AS_OFF

A class of groups is a set theoretical collection of groups satisfying the property that if G is in the collection then every group isomorphic to G is also in the collection. This concept arose from the necessity to work with a bunch of groups satisfying certain special property (for example finiteness or commutativity). Since set theory does not admit the "set of all groups", it is necessary to work with the more general concept of class.

Attributes	Values
rdf:type	book
rdfs:label	Class of groups (en) Kelas grup (in)
rdfs:comment	A class of groups is a set theoretical collection of groups satisfying the property that if G is in the collection then every group isomorphic to G is also in the collection. This concept arose from the necessity to work with a bunch of groups satisfying certain special property (for example finiteness or commutativity). Since set theory does not admit the "set of all groups", it is necessary to work with the more general concept of class. (en) Kelas grup adalah teoritis himpunan grup yang menggunakan sifat jika G dalam koleksi maka grup isomorfik ke G juga dalam koleksi. Konsep dari grup yang menggunakan sifat khusus tertentu (misalnya keterbatasan atau komutatifitas). Karena teori himpunan tidak menggunakan "grup himpunan", maka dengan konsep yang lebih umum dari kelas. (in)
dcterms:subject	Group theory Properties of groups Algebraic structures
Wikipage page ID	48438158 (xsd:integer)
Wikipage revision ID	1060505371 (xsd:integer)
Link from a Wikipage to another Wikipage	Trivial group Group theory Commutative Normal subgroup Simple group Class (set theory) Empty set Subgroup Properties of groups Algebraic structures Alternating group Cyclic group Nilpotent group Formation (group theory) Isomorphism class Group (mathematics) Abelian group Binary operation Group isomorphism Idempotent Associative Set theory Solvable group Finite group Supersolvable group Springer-Verlag Order of a group
Link from a Wikipage to an external page	https://books.google.com/books%3Fid=E7iL1eWB1TkC https://books.google.com/books%3Fid=VoQ53SosWLIC
sameAs	Class of groups Class of groups Class of groups Class of groups
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Reflist dbt:Group_theory_sidebar
has abstract	A class of groups is a set theoretical collection of groups satisfying the property that if G is in the collection then every group isomorphic to G is also in the collection. This concept arose from the necessity to work with a bunch of groups satisfying certain special property (for example finiteness or commutativity). Since set theory does not admit the "set of all groups", it is necessary to work with the more general concept of class. (en) Kelas grup adalah teoritis himpunan grup yang menggunakan sifat jika G dalam koleksi maka grup isomorfik ke G juga dalam koleksi. Konsep dari grup yang menggunakan sifat khusus tertentu (misalnya keterbatasan atau komutatifitas). Karena teori himpunan tidak menggunakan "grup himpunan", maka dengan konsep yang lebih umum dari kelas. (in)
gold:hypernym	Collection
prov:wasDerivedFrom	wikipedia-en:Class_of_groups?oldid=1060505371&ns=0
page length (characters) of wiki page	5558 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Class_of_groups
is Link from a Wikipage to another Wikipage of	Universal algebra Formation (group theory)
is foaf:primaryTopic of	wikipedia-en:Class_of_groups

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 56 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software