Cycle

Cycles is used in mathematics in different meanings:

• in combinatorics as a special permutation, see cyclic permutation
• in group theory in connection with the symmetric group, see symmetric group #Notation
• in algebraic topology and in homological algebra the set that is mapped to zero by the boundary operator, see chain complex
  • in function theory a special case of, see cycle (function theory)
• a closed path in graph theory, see cycle (graph theory)

See also:

• cycle

This is a disambiguation page for differentiating between several terms identified with the same word.