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In organic chemistry, the phenyl group or phenyl ring is a cyclic group of atoms with the formula C6H5. Phenyl groups are closely related to benzene. Phenyl groups have six carbon atoms bonded together in a hexagonal planar ring, five of which are bonded to individual hydrogen atoms, with the remaining carbon bonded to a substituent.

In organic chemistry, the phenyl group or phenyl ring is a cyclic group of atoms with the formula C6H5. Phenyl groups are closely related to benzene. Phenyl groups have six carbon atoms bonded together in a hexagonal planar ring, five of which are bonded to individual hydrogen atoms, with the remaining carbon bonded to a substituent.

In organic chemistry, the phenyl group or phenyl ring is a cyclic group of atoms with the formula C6H5.

In organic chemistry, the phenyl group or phenyl ring is a cyclic group of atoms with the formula C6H5.

Examples of Cyclic Groups

Examples of Cyclic Groups

Direct Products of Finite Cyclic Groups Video 1

Direct Products of Finite Cyclic Groups Video 1

398 is the number of integers with complexity 22.

398 is the number of integers with complexity 22.

The circle of fifths may be endowed with a cyclic group structure

The circle of fifths may be endowed with a cyclic group structure

A Cayley graph for the free product of the cyclic groups C3 and C5 (with the natural generating set). Drawn in TikZ :)

A Cayley graph for the free product of the cyclic groups C3 and C5 (with the natural generating set). Drawn in TikZ :)

The cyclic group Z26 underlies Caesar's cipher.

The cyclic group Z26 underlies Caesar's cipher.

A Cayley graph for the free product of the cyclic groups C3 and C5 (with the natural generating set). Drawn in TikZ :)

A Cayley graph for the free product of the cyclic groups C3 and C5 (with the natural generating set). Drawn in TikZ :)

Proof: Let G = (a) be a cyclic group generated by a. Its trivial subgroup {e} containing the identity in of G, is cyclic. Let H be any nontrivial subgroup G.