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STEP Support Programme

Groups

88-S3-Q9

Order of group, conjugation.

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[STEP III 1988 Question 9 (Pure)]

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88-S2-Q9

Subgroups.

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[STEP II 1988 Question 9 (Pure)]

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87-S3-Q9

Group multiplication, product group, abelian, if and only if, subgroup, isomorphism, cyclic group.

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[STEP II 1987 Question 9 (Pure)]

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87-S2-Q10

Binary operation, group axioms, set.

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[STEP II 1987 Question 10 (Pure)]

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Spec-S3-Q9

Group of matrices under matrix multiplication, associative, subset, integers, identity matrix, commute.

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[STEP III Specimen Question 9 (Pure)]

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Spec-S2-Q8

Multiplication modulo N, cyclic group, order 12, isomorphism.

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[STEP II Specimen Question 8 (Pure)]

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Useful Links

Underground Mathematics: Selected worked STEP questions

STEP Question database

University of Cambridge Mathematics Faculty: What do we look for?

University of Cambridge Mathematics Faculty: Information about STEP

University of Cambridge Admissions Office: Undergraduate course information for Mathematics

Stephen Siklos' "Advanced Problems in Mathematics" book (external link)

MEI: Worked solutions to STEP questions (external link)

OCR: Exam board information about STEP (external link)

AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)