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Meaning of cyclic group | Babel Free

Noun CEFR B2

Definitions

A group generated by a single element.

Equivalents

Bosanski ciklička grupa
Hrvatski ciklička grupa
Italiano gruppo ciclico
Српски ciklička grupa

Examples

“1986, N. S. Gopalakrishnan, University Algebra, New Age International, 2nd Edition, page 22, Proposition 1.5.6. Any subgroup of an infinite cyclic group is also an infinite cyclic group.”
“If u#58;G#95;1#92;rightarrow#92;mathbb#123;Z#125;#47;m#92;mathbb#123;Z#125; and v#58;G#95;2#92;rightarrow#92;mathbb#123;Z#125;#47;m#92;mathbb#123;Z#125; are isomorphisms of two cyclic groups with #92;mathbb#123;Z#125;#47;m#92;mathbb#123;Z#125;, then v#123;-1#125;#92;circu#58;G#95;1#92;rightarrowG#95;2 is an isomorphism.”
“2003, Alexander Retakh (translator), Ėrnest Borisovich Vinberg, A Course in Algebra, [2001, Э. Б. Винберг, Курс алгебры, Factorial Press] American Mathematical Society, page 152, Cyclic groups are the simplest groups imaginable.”

CEFR level

B2
Upper Intermediate
This word is part of the CEFR B2 vocabulary — upper intermediate level.
See all B2 English words →

See also

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