Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Quasisimple_group> ?p ?o }
Showing triples 1 to 51 of
51
with 100 triples per page.
- Quasisimple_group abstract "In mathematics, a quasisimple group (also known as a covering group) is a group that is a perfect central extension E of a simple group S. In other words, there is a short exact sequence1 → Z(E) → E → S → 1such that E = [E, E], where Z(E) denotes the center of E and [ , ] denotes the commutator.Equivalently, a group is quasisimple if it is equal to its commutator subgroup and its inner automorphism group Inn(G) (its quotient by its center) is simple; due to Grün's lemma, Inn(G) must be non-abelian. All non-abelian simple groups are quasisimple.The subnormal quasisimple subgroups of a group control the structure of a finite insoluble group in much the same way as the minimal normal subgroups of a finite soluble group do, and so are given a name, component.The subgroup generated by the subnormal quasisimple subgroups is called the layer, and along with the minimal normal soluble subgroups generates a subgroup called the generalized Fitting subgroup.The quasisimple groups are often studied alongside the simple groups and groups related to their automorphism groups, the almost simple groups. The representation theory of the quasisimple groups is nearly identical to the projective representation theory of the simple groups.".
- Quasisimple_group wikiPageExternalLink QuasisimpleGroup.html.
- Quasisimple_group wikiPageID "1642729".
- Quasisimple_group wikiPageLength "2413".
- Quasisimple_group wikiPageOutDegree "29".
- Quasisimple_group wikiPageRevisionID "686956202".
- Quasisimple_group wikiPageWikiLink Almost_simple_group.
- Quasisimple_group wikiPageWikiLink Automorphism.
- Quasisimple_group wikiPageWikiLink Cambridge_University_Press.
- Quasisimple_group wikiPageWikiLink Category:Properties_of_groups.
- Quasisimple_group wikiPageWikiLink Center_(group_theory).
- Quasisimple_group wikiPageWikiLink Commutator.
- Quasisimple_group wikiPageWikiLink Commutator_subgroup.
- Quasisimple_group wikiPageWikiLink Component_(group_theory).
- Quasisimple_group wikiPageWikiLink Covering_groups_of_the_alternating_and_symmetric_groups.
- Quasisimple_group wikiPageWikiLink Exact_sequence.
- Quasisimple_group wikiPageWikiLink Fitting_subgroup.
- Quasisimple_group wikiPageWikiLink Group_(mathematics).
- Quasisimple_group wikiPageWikiLink Group_extension.
- Quasisimple_group wikiPageWikiLink Inner_automorphism.
- Quasisimple_group wikiPageWikiLink Mathematics.
- Quasisimple_group wikiPageWikiLink Non-abelian_group.
- Quasisimple_group wikiPageWikiLink Normal_subgroup.
- Quasisimple_group wikiPageWikiLink Perfect_group.
- Quasisimple_group wikiPageWikiLink Projective_representation.
- Quasisimple_group wikiPageWikiLink Quotient.
- Quasisimple_group wikiPageWikiLink Representation_theory_of_finite_groups.
- Quasisimple_group wikiPageWikiLink Schur_multiplier.
- Quasisimple_group wikiPageWikiLink Semisimple_algebraic_group.
- Quasisimple_group wikiPageWikiLink Simple_group.
- Quasisimple_group wikiPageWikiLink Solvable_group.
- Quasisimple_group wikiPageWikiLink Subnormal_subgroup.
- Quasisimple_group wikiPageWikiLinkText "Quasisimple group".
- Quasisimple_group wikiPageWikiLinkText "quasisimple group".
- Quasisimple_group wikiPageWikiLinkText "quasisimple subgroups".
- Quasisimple_group wikiPageWikiLinkText "quasisimple".
- Quasisimple_group wikiPageUsesTemplate Template:Abstract-algebra-stub.
- Quasisimple_group wikiPageUsesTemplate Template:Cite_book.
- Quasisimple_group wikiPageUsesTemplate Template:Refimprove.
- Quasisimple_group wikiPageUsesTemplate Template:Reflist.
- Quasisimple_group subject Category:Properties_of_groups.
- Quasisimple_group hypernym Group.
- Quasisimple_group type Band.
- Quasisimple_group type Property.
- Quasisimple_group comment "In mathematics, a quasisimple group (also known as a covering group) is a group that is a perfect central extension E of a simple group S.".
- Quasisimple_group label "Quasisimple group".
- Quasisimple_group sameAs Q7269527.
- Quasisimple_group sameAs m.05k0t4.
- Quasisimple_group sameAs Q7269527.
- Quasisimple_group wasDerivedFrom Quasisimple_group?oldid=686956202.
- Quasisimple_group isPrimaryTopicOf Quasisimple_group.