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Subgroup properties
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Articles: 26
Subgroup properties in group theory refer to certain characteristics or conditions that a subgroup of a given group may satisfy. These properties help in categorizing subgroups and understanding their structure relative to the larger group.
Table of contents
1k
26
Abnormal subgroup
Subgroup properties
72
Ascendant subgroup
Subgroup properties
35
C-normal subgroup
Subgroup properties
46
Carter subgroup
Subgroup properties
57
Central subgroup
Subgroup properties
82
Centrally closed subgroup
Subgroup properties
38
Characteristic subgroup
Subgroup properties
61
Conjugate-permutable subgroup
Subgroup properties
61
Contranormal subgroup
Subgroup properties
25
Descendant subgroup
Subgroup properties
40
Fully normalized subgroup
Subgroup properties
64
Hall subgroup
Subgroup properties
33
Malnormal subgroup
Subgroup properties
22
Maximal subgroup
Subgroup properties
83
Modular subgroup
Subgroup properties
30
Normal subgroup
Subgroup properties
63
Paranormal subgroup
Subgroup properties
50
Polynormal subgroup
Subgroup properties
64
Pronormal subgroup
Subgroup properties
71
Quasinormal subgroup
Subgroup properties
41
Seminormal subgroup
Subgroup properties
23
Semipermutable subgroup
Subgroup properties
74
Serial subgroup
Subgroup properties
60
Special abelian subgroup
Subgroup properties
35
Subnormal subgroup
Subgroup properties
25
Transitively normal subgroup
Subgroup properties
40
Ancestors
(5)
Group theory
Fields of abstract algebra
Fields of mathematics
Mathematics
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