Property:Defined in

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Showing 20 pages using this property.
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))  +, …
C
Center +
Herstein (?, ?, ?)  +, AlperinBell (?, ?, ?)  +, DummitFoote (?, ?, ?)  +, …
Characteristic subgroup +
Frobenius95 (?, ?, ?)  +, BurnsideFiniteGroups (92, ?, ?)  +, DummitFoote (135, Section 4.4 (''Automorphisms''), Section 4.4 (''Automorphisms''))  +, …
Conjugacy class +
DummitFoote (?, ?, ?)  +, Hungerford (?, ?, ?)  +, RobinsonGT (?, ?, ?)  +, …
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 (?, ?, ?)  +, …
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 (?, ?, ?)  +, …
I
Index of a subgroup +
Artin (?, ?, ?)  +, DummitFoote (?, ?, ?)  +
Inner automorphism +
DummitFoote (?, ?, ?)  +, AlperinBell (?, ?, ?)  +, RobinsonGT (?, ?, ?)  +, …
Isomorphism of groups +
Artin (?, ?, ?)  +, DummitFoote (?, ?, ?)  +
L
Left coset of a subgroup +
DummitFoote (?, ?, ?)  +, AlperinBell (?, ?, ?)  +, RobinsonGT (?, ?, ?)  +, …
N
Nilpotent group +
DummitFoote (190, formal definition, formal definition)  +, AlperinBell (103, definition in paragraph, definition in paragraph)  +, RobinsonGT (122, formal definition, formal definition)  +, …
Normal subgroup +
DummitFoote (82, formal definition, formal definition)  +, Herstein (50, Section 2.6, Section 2.6)  +, Hungerford (41, Section 1.5, Section 1.5)  +, …
Normalizer of a subgroup +
AlperinBell (?, ?, ?)  +, DummitFoote (?, ?, ?)  +, Herstein (?, ?, ?)  +, …
P
Perfect group +
DummitFoote (174, definition introduced in exercise, definition introduced in exercise)  +, RobinsonGT (157, Section 5.4, Problem 4, Section 5.4, Problem 4)  +, FGTAsch (27, ?, ?)  +
S
Simple group +
DummitFoote (?, ?, ?)  +, RobinsonGT (?, ?, ?)  +, Artin (?, ?, ?)  +
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