Groups of Ten Kindergarten Notebooks Mrs. Kirkland’s Class Grace Hill Elementary.
Chapter 2: Groups Definition and Examples of Groups Elementary Properties of Groups.
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Chapter 2: Groups Definition and Examples of Groups Elementary Properties of Groups
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Transcript of Chapter 2: Groups Definition and Examples of Groups Elementary Properties of Groups.
Definition
Binary OperationLet G be a set. A binary operation on G is a function that assigns each ordered pair of elements of G an element of G.
That is for each
abba
GabGba
),(
element an is there,
Abelian Group A group G is called an Abelian Group ifab=ba for all elements a,b in G. G is called non Abelian Group if ab ≠
ba for some a,b in G.
The group SL(2,F)
Then SL(2,F) is a group under multiplication of matrices called
the special linear group.For example SL(2,Z5)
1.det(A)
and from entries with matrices 22 all ofset thebe
),2(let ,or Z ,, ofany be Let p
FA
FSLCRQF