Finite subgroups of division rings

Author:
S. A. Amitsur

Journal:
Trans. Amer. Math. Soc. **80** (1955), 361-386

MSC:
Primary 09.3X

DOI:
https://doi.org/10.1090/S0002-9947-1955-0074393-9

MathSciNet review:
0074393

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References | Similar Articles | Additional Information

**[1]**A. Adrian Albert,*Structure of algebras*, Revised printing. American Mathematical Society Colloquium Publications, Vol. XXIV, American Mathematical Society, Providence, R.I., 1961. MR**0123587****[2]**Emil Artin,*Algebraic numbers and algebraic functions. I*, Institute for Mathematics and Mechanics, New York University, New York, 1951. MR**0045767****[3]**W. Burnside,*On finite groups in which all Sylow subgroups are cyclic*, Messenger of Mathematics vol. 35 (1905) pp. 46-50.**[4]**-,*On a general property of finite irreducible groups of linear substitutions*, Messenger of Mathematics vol. 35 (1905) pp. 51-55.**[5]**M. Deuring,*Algebren*, New York, Chelsea, 1948.**[6]**I. N. Herstein,*Finite multiplicative subgroups in division rings*, Pacific J. Math.**3**(1953), 121–126. MR**55319****[7]**N. Jacobson,*The fundamental theorem of the Galois theory for quasi-fields*, Ann. of Math. (2)**41**(1940), 1–7. MR**1219**, https://doi.org/10.2307/1968817**[8]**H. Zassenhaus,*Über endliche Fastkörper*, Hamb. Abhand. vol. 11 (1936) pp. 187-220.**[9]**Georges Vincent,*Les groupes linéaires finis sans points fixes*, Comment. Math. Helv.**20**(1947), 117–171 (French). MR**21936**, https://doi.org/10.1007/BF02568125

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DOI:
https://doi.org/10.1090/S0002-9947-1955-0074393-9

Article copyright:
© Copyright 1955
American Mathematical Society