Abstract Algebra: Theory and Applications · Problem 27

Permutation Groups — Thomas Judson

Mathematics — Abstract Algebra · cyclic-groups-subgroups

Problem

g

and

h

have orders 15 and 16 respectively in a group

G

, what is the order of

\langle g \rangle \cap \langle h \rangle

? Hint.

|\langle g \rangle \cap \langle h \rangle| = 1