U+22EB Does Not Contain As Normal Subgroup
U+22EB was added in Unicode version 1.1 in 1993. It belongs to the block
This character is a Math Symbol and is commonly used, that is, in no specific script.
The glyph is a canonical composition of the glyphs
The Wikipedia has the following information about this codepoint:
In abstract algebra, a normal subgroup (also known as an invariant subgroup or self-conjugate subgroup) is a subgroup that is invariant under conjugation by members of the group of which it is a part. In other words, a subgroup of the group is normal in if and only if for all and . The usual notation for this relation is .
Normal subgroups are important because they (and only they) can be used to construct quotient groups of the given group. Furthermore, the normal subgroups of are precisely the kernels of group homomorphisms with domain , which means that they can be used to internally classify those homomorphisms.
Évariste Galois was the first to realize the importance of the existence of normal subgroups.
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Related Characters
Elsewhere
Complete Record
Property | Value |
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1.1 (1993) | |
DOES NOT CONTAIN AS NORMAL SUBGROUP | |
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