Binary operation, associative, subgroup.

[STEP III 1999 Question 7 (Pure)]

Group of matrices, singular matrix, determinant.

[STEP III 1996 Question 6 (Pure)]

Set, isomorphism.

[STEP III 1995 Question 7 (Pure)]

Permutation, isomorphism, roots of unity, complex multiplication.

[STEP III 1994 Question 7 (Pure)]

Set of complex numbers, binary operation, associative and commutative, identity, isomorphism, matrix groups.

[STEP III 1993 Question 5 (Pure)]

Order of an element, SL2(R), inverse, matrix multiplication.

[STEP II 1992 Question 5 (Pure)]

Groups under matrix multiplication, commute, subgroup.

[STEP II 1991 Question 9 (Pure)]

Binary operation, order 2, commute, conjugate elements.

[STEP III 1990 Question 3 (Pure)]

Matrix groups, Cayley-Hamilton, binary operation, group axioms.

[STEP III 1989 Question 3 (Pure)]

Complex numbers, permutation group, Mobius transformation, order of group.

[STEP II 1989 Question 8 (Pure)]