Subgroups of the multiplicative group of a division ring
HTML articles powered by AMS MathViewer
- by R. J. Faudree
- Trans. Amer. Math. Soc. 124 (1966), 41-48
- DOI: https://doi.org/10.1090/S0002-9947-1966-0201508-9
- PDF | Request permission
References
- A. Adrian Albert, Structure of algebras, American Mathematical Society Colloquium Publications, Vol. XXIV, American Mathematical Society, Providence, R.I., 1961. Revised printing. MR 0123587
- S. A. Amitsur, Finite subgroups of division rings, Trans. Amer. Math. Soc. 80 (1955), 361–386. MR 74393, DOI 10.1090/S0002-9947-1955-0074393-9
- J. F. Bowers, On composition series of polycyclic groups, J. London Math. Soc. 35 (1960), 433–444. MR 124398, DOI 10.1112/jlms/s1-35.4.433
- P. M. Cohn, Eine Bemerkung über die multiplikative Gruppe eines Körpers, Arch. Math. (Basel) 13 (1962), 344–348 (German). MR 146252, DOI 10.1007/BF01650082
- K. A. Hirsch, On infinite soluble groups. IV, J. London Math. Soc. 27 (1952), 81–85. MR 44526, DOI 10.1112/jlms/s1-27.1.81
- Masatoshi Ikeda, Schiefkörper unendlichen Ranges über dem Zentrum, Osaka Math. J. 14 (1962), 135–144 (German). MR 140537
- Kenkichi Iwasawa, On linearly ordered groups, J. Math. Soc. Japan 1 (1948), 1–9. MR 28313, DOI 10.2969/jmsj/00110001
- Nathan Jacobson, Structure of rings, American Mathematical Society Colloquium Publications, Vol. 37, American Mathematical Society, 190 Hope Street, Providence, R.I., 1956. MR 0081264
- A. I. Mal′cev, On the embedding of group algebras in division algebras, Doklady Akad. Nauk SSSR (N.S.) 60 (1948), 1499–1501 (Russian). MR 0025457
- B. H. Neumann, On ordered division rings, Trans. Amer. Math. Soc. 66 (1949), 202–252. MR 32593, DOI 10.1090/S0002-9947-1949-0032593-5
- Oystein Ore, Theory of non-commutative polynomials, Ann. of Math. (2) 34 (1933), no. 3, 480–508. MR 1503119, DOI 10.2307/1968173
- Georges Vincent, Les groupes linéaires finis sans points fixes, Comment. Math. Helv. 20 (1947), 117–171 (French). MR 21936, DOI 10.1007/BF02568125
- Hans J. Zassenhaus, The theory of groups, Chelsea Publishing Co., New York, 1958. 2nd ed. MR 0091275
Bibliographic Information
- © Copyright 1966 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 124 (1966), 41-48
- MSC: Primary 20.99; Secondary 16.46
- DOI: https://doi.org/10.1090/S0002-9947-1966-0201508-9
- MathSciNet review: 0201508