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Property:Defined in

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Pages using the property "Defined in"

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3
3-step group for a prime +Gorenstein (401, Section 14.1 (''Basic Properties of CN-Groups''), Section 14.1 (''Basic Properties of CN-Groups''))  +
A
Abelian group +DummitFoote (17, Formal definition (definition as point (2) in general definition of group), Formal definition (definition as point (2) in general definition of group))  +, AlperinBell (2, 1.1 (Rudiments of Group Theory/Review), 1.1 (Rudiments of Group Theory/Review))  +, Artin (42, definition introduced in paragraph (immediately after definition of group), definition introduced in paragraph (immediately after definition of group))  +,
Absolute center +Hegarty94 (?, ?, ?)  +
Automorph-conjugate subgroup +Wielandt58 (?, ?, ?)  +
B
Baer group +RobinsonGT (353, Section 12.2, Section 12.2)  +
Basic Lie product +KhukhroPAut (67, Section 5.3 (''Free Lie rings''), Section 5.3 (''Free Lie rings''))  +
C
Center +Herstein (?, ?, ?)  +, AlperinBell (?, ?, ?)  +, DummitFoote (?, ?, ?)  +,
Characteristic subgroup +Frobenius95 (?, ?, ?)  +, BurnsideFiniteGroups (92, ?, ?)  +, DummitFoote (135, Section 4.4 (''Automorphisms''), Section 4.4 (''Automorphisms''))  +,
Characteristically simple group +FGTAsch (?, ?, ?)  +, Gorenstein (?, ?, ?)  +
Characterization of free Lie ring in terms of eigenspaces of Dynkin operator +KhukhroPAut (70, Section 9.2 (''The Baker-Hausdorff Formula''), Section 9.2 (''The Baker-Hausdorff Formula''))  +
Completely regular semigroup +Resource:Planetmath (?, ?, ?)  +
Conjugacy class +DummitFoote (?, ?, ?)  +, Hungerford (?, ?, ?)  +, RobinsonGT (?, ?, ?)  +,
Conjugacy functor +Gorenstein (288, Chapter 8 (''p-constrained and p-stable groups''), Section 4 (''groups with subgroups of Glauberman type''), Chapter 8 (''p-constrained and p-stable groups''), Section 4 (''groups with subgroups of Glauberman type''))  +
Cyclic group +DummitFoote (54, formal definition, formal definition)  +, AlperinBell (3, definition introduced in paragraph, definition introduced in paragraph)  +, Herstein (39, Example 2.4.3, Example 2.4.3)  +,
D
Derived subgroup +Artin (?, ?, ?)  +, DummitFoote (?, ?, ?)  +, Lang (?, ?, ?)  +,
Dihedral group +DummitFoote (?, ?, ?)  +, AlperinBell (?, ?, ?)  +, Lang (?, ?, ?)  +,
Divisible group for a set of primes +Baumslagunique (?, ?, ?)  +, KhukhroPAut (18, Section 1.3 (''Algebraic systems, varieties, and free objects''), Section 1.3 (''Algebraic systems, varieties, and free objects''))  +
Dynkin operator +KhukhroPAut (70, Section 5.3 (''Free Lie rings''), Section 5.3 (''Free Lie rings''))  +
E
Epigroup +Resource:Planetmath (?, ?, ?)  +
Extended Mislin genus +MoreConcise (145, Definition 7.5.1, Section 7.5 (''The genus of abelian and nilpotent groups''), Definition 7.5.1, Section 7.5 (''The genus of abelian and nilpotent groups''))  +
F
Finite group +DummitFoote (17, definition given as an additional comment after the formal definition of group, definition given as an additional comment after the formal definition of group)  +, AlperinBell (2, ?, ?)  +, Fraleigh (58, the term is not explicitly defined, but the definition is implicit in the section ''Finite groups and group tables'', the term is not explicitly defined, but the definition is implicit in the section ''Finite groups and group tables'')  +,
Frattini subgroup +DummitFoote (?, ?, ?)  +, RobinsonGT (?, ?, ?)  +, Gorenstein (?, ?, ?)  +
Fully invariant subgroup +Levi33 (?, ?, ?)  +, Baer44 (?, ?, ?)  +, RobinsonGT (?, ?, ?)  +
G
Group +AlperinBell (?, ?, ?)  +, DummitFoote (?, ?, ?)  +, Lang (?, ?, ?)  +,
Group having a Sylow tower +Gorenstein (258, Chapter 7 (''Fusion, transfer and p-factor groups''), Section 7.6 (''Elementary applications''), Chapter 7 (''Fusion, transfer and p-factor groups''), Section 7.6 (''Elementary applications''))  +