Showing 25 pages using this property.
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| 2-Sylow subgroup is TI implies it is normal or there is exactly one conjugacy class of involutions + | Book:Gorenstein (302, Chapter 9 (''Groups of even order''), Theorem 1.4, ?) + |
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| Abelian group + | Book:DummitFoote (?, ?, ?) +, Book:AlperinBell (?, ?, ?) +, Book:Artin (?, ?, ?) +, … |
| Abelian normal subgroup of core-free maximal subgroup is contranormal implies derived subgroup of whole group is monolith + | Book:Cohn (120, ?, ?) + |
| Abelian p-group with indecomposable coprime automorphism group is homocyclic + | Book:Gorenstein (?, ?, ?) + |
| Abelian-to-normal replacement fails for prime-cube index for prime equal to two + | Paper:AlperinLargeAbelian (?, ?, ?) + |
| Abelian-to-normal replacement fails for prime-sixth order for prime equal to two + | Paper:AlperinLargeAbelian (?, ?, ?) + |
| Abelian-to-normal replacement theorem for prime exponent + | Paper:AG98 (?, ?, ?) + |
| Abelian-to-normal replacement theorem for prime-cube index for odd prime + | Paper:AlperinLargeAbelian (?, ?, ?) +, Paper:JonahKonvisser75 (?, ?, ?) + |
| Abelian-to-normal replacement theorem for prime-square index + | Paper:AlperinLargeAbelian (?, ?, ?) +, Paper:JonahKonvisser75 (?, ?, ?) + |
| Abhyankar's conjecture + | Resource:Wikipedia (?, ?, ?) +, Resource:Mathworld (?, ?, ?) + |
| Abnormal subgroup + | Paper:Carteronselfnormalizingsubgroups1 (?, ?, ?) +, Paper:Carteronselfnormalizingsubgroups2 (?, ?, ?) +, Paper:Rose-nilpotent (?, ?, ?) +, … |
| All minimal CL-subgroups have the same derived subgroup + | Paper:GlaubermanCL (?, ?, ?) + |
| Alperin's conjecture on abelian-to-normal replacement for small index + | Paper:AlperinLargeAbelian (?, ?, ?) + |
| Alperin's fusion theorem in terms of conjugation families + | Paper:Transferandfusion (?, ?, ?) +, Book:GL (?, ?, ?) + |
| Alperin's fusion theorem in terms of well-placed tame intersections + | Book:Gorenstein (284, Theorem 4.5, Chapter 8 (''p-constrained and p-stable groups''), Section 4 (''Groups with subgroups of glauberman type''), ?) + |
| Alperin's theorem on non-existence of abelian subgroups of large prime power order for odd prime + | Paper:AlperinLargeAbelian (?, ?, ?) + |
| Alperin's theorem on non-existence of abelian subgroups of large prime power order for prime equal to two + | Paper:AlperinLargeAbelian (?, ?, ?) + |
| Any abelian normal subgroup normalizes an abelian subgroup of maximum order + | Book:Gorenstein (274, Theorem 2.6, Section 8.2 (''Glauberman's theorem''), ?) + |
| Any class two normal subgroup whose derived subgroup is in the ZJ-subgroup normalizes an abelian subgroup of maximum order + | Book:Gorenstein (278, Theorem 2.9, Chapter 8 (''p-constrained and p-stable groups''), Section 2 (''Glauberman's theorem''), ?) + |
| Artin L-function + | Resource:Wikipedia (?, ?, ?) + |
| Artin conjecture + | Resource:Wikipedia (?, ?, ?) + |
| Associative implies generalized associative + | Book:DummitFoote (?, ?, ?) + |
| Aut-abelian not implies abelian + | Paper:Millerabelianautomorphisms (?, ?, ?) +, Paper:JonahKonvisserabelianautomorphisms (?, ?, ?) +, Paper:Struikabelianautomorphisms (?, ?, ?) +, … |
| Automorph-conjugate subgroup + | Paper:Wielandt58 (?, ?, ?) + |
| Automorphism group of characteristically polycyclic group is supersolvable + | Paper:DurbinMcDonald (?, ?, ?) + |
