Definition 1: What is a RELATION?

Definition 2: What is an EQUIVALENCE RELATION?

Definition 3: What is a PARTITION?

Definition 4: What is an EQUIVALENCE CLASS?

Definition 5: What is a BINARY OPERATION?

Definition 6: What is an INVERSE?

Definition 7: What is the definition of powers of operations?

Definition 8: What is a GROUP?

Definition 9: What does ABELIAN mean?

Definition 10: What is an ISOMETRY?

Definition 11: What is a MATRIX GROUP?

Definition 12: What is a SYMMETRY GROUP?

Definition 13: What does the word ORDER refer to?

Definition 14: What does the PERIOD of an element mean?

Definition 15: What is a finite subgroup?

Definition 16: Define a CYCLIC SUBGROUP

Definition 17: What is a CYCLIC GENERATOR?

Definition 18: What is the definition of a LEFT COSET?

Definition 19: What is an ISOMETRY?

Definition 20: What is a HOMOMORPHISM?

Definition 21: Define an Image and, similarly, the Preimage.

Definition 22: What is a Kernal?

Definition 23: What does the term PERMUTATION refer to?

Definition 24: What is a SYMMETRIC group?

Definition 25: What is CYCLE NOTATION?

Definition 26: What is a DISJOINT CYCLE?

Definition 27: What is an ORBIT?

Definition 28: What does the term TRANSPOSITION refer to?

Definition 29: What does PARITY mean?

Definition 30: What is the ALTERNATING GROUP?

Definition 31: What is the CARTESIAN PRODUCT OF SETS?

Definition 32: Define a PRIME NUMBER

Definition 33: What is a RESIDUE CLASS?

Definition 34: Describe the REDUCED RESIDUE SYSTEM

Definition 35: What is the EULER TOTIENT FUNCTION?

Definition 36: What is a RING?

Definition 37: What is a SUBRING?

Definition 38: What is the RING KERNAL?

Definition 39: What is meant by the phrase 'A DIVISOR OF ZERO'?

Definition 40: What is an INTEGRAL DOMAIN?

Definition 41: What is a UNIT?

Definition 42: What is a DIVISION RING?

Defintion 43: What is a FIELD?

Definition 44: What is the CHARACTERISTIC of a ring?