Centre of a group: Difference between revisions
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==References== | ==References== | ||
* {{cite book | author=Marshall Hall jr | title=The theory of groups | publisher=Macmillan | location=New York | year=1959 | pages=14 }} | * {{cite book | author=Marshall Hall jr | title=The theory of groups | publisher=Macmillan | location=New York | year=1959 | pages=14 }}[[Category:Suggestion Bot Tag]] | ||
Latest revision as of 11:00, 26 July 2024
In group theory, the centre of a group is the subset of elements which commute with every element of the group.
Formally,
The centre is a subgroup, which is normal and indeed characteristic. It may be described as the set of elements by which conjugation is trivial (the identity map); this shows the centre as the kernel of the homomorphism to G to its inner automorphism group.
References
- Marshall Hall jr (1959). The theory of groups. New York: Macmillan, 14.