[過去ﾛｸﾞ] 現代数学の系譜 工学物理雑談 古典ガロア理論も読む77 (1002ﾚｽ)

現代数学の系譜 工学物理雑談 古典ガロア理論も読む77 http://rio2016.5ch.io/test/read.cgi/math/1568026331/

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855: 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE [] 2019/10/15(火) 20:59:10.46 ID:9ROe+Kvi >>854 つづき https://en.wikipedia.org/wiki/Cyclic_group Cyclic group (抜粋) Additional properties If p is a prime number, then any group with p elements is isomorphic to the simple group Z/pZ. A number n is called a cyclic number if Z/nZ is the only group of order n, which is true exactly when gcd(n,φ(n)) = 1.[13] The cyclic numbers include all primes, but some are composite such as 15. However, all cyclic numbers are odd except 2. The cyclic numbers are: 1, 2, 3, 5, 7, 11, 13, 15, 17, 19, 23, 29, 31, 33, 35, 37, 41, 43, 47, 51, 53, 59, 61, 65, 67, 69, 71, 73, 77, 79, 83, 85, 87, 89, 91, 95, 97, 101, 103, 107, 109, 113, 115, 119, 123, 127, 131, 133, 137, 139, 141, 143, ... (sequence A003277 in the OEIS) https://oeis.org/A003277 The On-Line Encyclopedia of Integer Sequences AUTHOR N. J. A. Sloane and Richard Stanley Last modified October 15 04:33 EDT 2019. EXTENSIONS More terms from Christian G. Bower A003277 Cyclic numbers: n such that n and phi(n) are relatively prime; also n such that there is just one group of order n, i.e., A000001(n) = 1. (Formerly M0650) 65 1, 2, 3, 5, 7, 11, 13, 15, 17, 19, 23, 29, 31, ・・ (list; graph; refs; listen; history; text; internal format) (引用終り) 以上 http://rio2016.5ch.io/test/read.cgi/math/1568026331/855

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