ねじれ群
出典: フリー百科事典『ウィキペディア(Wikipedia)』 (2018/12/22 16:25 UTC 版)
関連項目
- 捩れ (代数学)
- ジョルダン–シューアの定理
参考文献
- Golod, Evgeny. S. (1964), “On nil-algebras and finitely approximable p-groups” (Russian), Izv. Akad. Nauk SSSR Ser. Mat. 28: 273–276.
- Aleshin, S. V. (1972), “Finite automata and the Burnside problem for periodic groups” (Russian), Mat. Zametki 11: 319–328.
- Grigorchuk, R. I. (1980), “On Burnside's problem on periodic groups” (Russian), Functional Anal. Appl 14 (no. 1): 41–43.
- Grigorchuk, R. I. (1984), “Degrees of growth of finitely generated groups and the theory of invariant means” (Russian), Izv. Akad. Nauk SSSR Ser. Mat. 48 (5): 939–985
外部リンク
- torsion group in nLab
- periodic group - PlanetMath.(英語)
- Definition:Torsion at ProofWiki
- Hazewinkel, Michiel, ed. (2001), "Torsion group", Encyclopaedia of Mathematics, Springer, ISBN 978-1-55608-010-4
- ^ exponent - PlanetMath.(英語)
- ^ 山﨑圭次郎 『環と加群 I』 岩波書店〈岩波講座 基礎数学〉、1976年。
- ^ Ebbinghaus, H.-D.; Flum, J.; Thomas, W. (1994). Mathematical logic (2. ed., 4. pr. ed.). New York [u.a.]: Springer. pp. 50. ISBN 978-0-387-94258-2 2012年7月18日閲覧. "However, in first-order logic we may not form infinitely long disjunctions. Indeed, we shall later show that there is no set of first-order formulas whose models are precisely the periodic groups."