The Group Properties Wiki (pre-alpha)
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Notation for subgroup properties
From Groupprops
This is a notation page: it lists some important notation
Notations for subgroup properties
-
denotes the tautology subgroup property, viz
or
means that H is a subgroup of G (with no further restrictions)
-
denotes the subgroup property of being a normal subgroup, viz
or
means that H is a normal subgroup of G.
- char denotes the subgroup property of being a characteristic subgroup, viz HcharG means that H is a characteristic subgroup of G.
-
denotes the subgroup property of being a subnormal subgroup, viz
or
means that H is a subnormal subgroup of G.
-
denotes the subgroup property of being a maximal subgroup, viz
iff H is a maximal subgroup of G

