Skip to content
Counterexample

Is this true?

o(ab) is finite whenever o(a) and o(b) are

No — it is false.

The counterexample

The object that kills this claim comes with Trap Analysis.

See pricing

86 counterexamples are free — including most of the ones Part C leans on hardest.

Keep practicing

Hypothesis dropped

A theorem applied without checking one of its preconditions.

See real exam options built on this mistakeDrill statements like this
groups

Go deeper· Explained in full in Lagrange, orders and cyclic groups· Asked in CSIR NET June 2025· From Groups › Subgroups, cosets, Lagrange, cyclic groups

ShareWhatsAppTelegram