Semigroup of endomorphisms of a locally compact group

Goto, Morikuni; Kimura, Naoki

doi:10.1090/S0002-9947-1958-0096746-8

Semigroup of endomorphisms of a locally compact group
HTML articles powered by AMS MathViewer

by Morikuni Goto and Naoki Kimura

Trans. Amer. Math. Soc. 87 (1958), 359-371

DOI: https://doi.org/10.1090/S0002-9947-1958-0096746-8

PDF | Request permission

References

Claude Chevalley, Theory of Lie groups. I, Princeton University Press, Princeton, N. J., 1946 1957. MR 0082628
Felix Gantmacher, Canonical representation of automorphisms of a complex semi-simple Lie group, Rec. Math. (Moscou) 5(47) (1939), 101–146 (English, with Russian summary). MR 0000998
A. M. Gleason, The structure of locally compact groups, Duke Math. J. 18 (1951), 85–104. MR 39730
Andrew M. Gleason, Groups without small subgroups, Ann. of Math. (2) 56 (1952), 193–212. MR 49203, DOI 10.2307/1969795
Morikuni Gotô, Faithful representations of Lie groups. I, Math. Japon. 1 (1948), 107–119. MR 29919
Morikuni Gotô, Linear representations of topological groups, Proc. Amer. Math. Soc. 1 (1950), 425–437. MR 38982, DOI 10.1090/S0002-9939-1950-0038982-0
Morikuni Goto, On the group of automorphisms of a locally compact connected group, Mem. Amer. Math. Soc. 14 (1955), 23–29. MR 69185
Morikuni Goto, Dense imbeddings of locally compact connected groups, Ann. of Math. (2) 61 (1955), 154–169. MR 65567, DOI 10.2307/1969626
G. Hochschild, The automorphism group of Lie group, Trans. Amer. Math. Soc. 72 (1952), 209–216. MR 45735, DOI 10.1090/S0002-9947-1952-0045735-2
Kenkichi Iwasawa, On some types of topological groups, Ann. of Math. (2) 50 (1949), 507–558. MR 29911, DOI 10.2307/1969548
Yozô Matsushima, On the decomposition of an $(L)$-group, J. Math. Soc. Japan 1 (1950), 264–274. MR 39735, DOI 10.2969/jmsj/00140264
Deane Montgomery and Leo Zippin, Topological transformation groups, Interscience Publishers, New York-London, 1955. MR 0073104
Katsumi Nomizu and Morikuni Gotô, On the group of automorphisms of a topological group, Tohoku Math. J. (2) 2 (1950), 47–50. MR 38354, DOI 10.2748/tmj/1178245670

Topological groups

L’intégration dans les groupes topologiques et ses applications

Hidehiko Yamabe, On the conjecture of Iwasawa and Gleason, Ann. of Math. (2) 58 (1953), 48–54. MR 54613, DOI 10.2307/1969819
Hidehiko Yamabe, A generalization of a theorem of Gleason, Ann. of Math. (2) 58 (1953), 351–365. MR 58607, DOI 10.2307/1969792