Meaning of cyclic group | Babel Free
Definitions
A group generated by a single element.
Equivalents
Italiano
gruppo ciclico
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.
This word is part of the CEFR B2 vocabulary — upper intermediate level.