The generality of local class field theory (Generalized local class field theory. V.)

Author:
G. Whaples

Journal:
Proc. Amer. Math. Soc. **8** (1957), 137-140

MSC:
Primary 09.3X

DOI:
https://doi.org/10.1090/S0002-9939-1957-0090583-0

MathSciNet review:
0090583

Full-text PDF Free Access

References | Similar Articles | Additional Information

**[1]**E. Artin,*Algebraic numbers and algebraic functions*, I, Mimeographed lecture notes, Princeton University, New York University, 1951. MR**0045767 (13:628d)****[2]**I. Kaplansky,*Maximal fields with valuations*, Duke Math. J. vol. 9 (1942) pp. 303-321. MR**0006161 (3:264d)****[3]**O. F. G. Schilling,*Arithmetic in fields of formal power series in several variables*, Ann. of Math. vol. 38 (1937) pp. 551-576. MR**1503353****[4]**-,*The theory of valuations*, Math. Surveys, no. 4, American Mathematical Society, New York, 1950. MR**0043776 (13:315b)****[5]**G. Whaples,*Generalized local class field theory*, I and II, Duke Math. J. vol. 19 (1952) pp. 505-517, and vol. 21 (1954) pp. 247-256. MR**0049236 (14:140b)****[6]**-,*Existence of generalized local class fields*, Proc. Nat. Acad. Sci. U.S.A. vol. 39 (1953) pp. 1100-1103. MR**0059961 (15:606a)**

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC:
09.3X

Retrieve articles in all journals with MSC: 09.3X

Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1957-0090583-0

Article copyright:
© Copyright 1957
American Mathematical Society