Frobenius - meaning and definition. What is Frobenius
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What (who) is Frobenius - definition


Frobenius endomorphism         
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ENDOMORPHISM OF A COMMUTATIVE RING OF NON-ZERO CHARACTERISTICS
Frobenius element; Frobenius morphism; Frobenius homomorphism; Frobenius map; Frobenius automorphism; Absolute Frobenius map; Arithmetic Frobenius element; Geometric Frobenius element; Geomeric Frobenius; Frobenius symbol; Absolute Frobenius morphism
In commutative algebra and field theory, the Frobenius endomorphism (after Ferdinand Georg Frobenius) is a special endomorphism of commutative rings with prime characteristic , an important class which includes finite fields. The endomorphism maps every element to its -th power.
Frobenius group         
TRANSITIVE PERMUTATION GROUP WITH RESTRICTIONS ON FIXED POINT BEHAVIOR
Frobenius complement; Frobenius kernel; Frobenius groups; Ax+b group
In mathematics, a Frobenius group is a transitive permutation group on a finite set, such that no non-trivial element
Frobenius algebra         
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ALGEBRAIC STRUCTURE WITH "NICE" DUALITY PROPERTIES
Frobenius object; Frobenius ring; Frobenius conditions; Symmetric Frobenius algebra
In mathematics, especially in the fields of representation theory and module theory, a Frobenius algebra is a finite-dimensional unital associative algebra with a special kind of bilinear form which gives the algebras particularly nice duality theories. Frobenius algebras began to be studied in the 1930s by Richard Brauer and Cecil Nesbitt and were named after Georg Frobenius.