Semigroups and Hilbert's fifth problem
Mathematica Slovaca (1994)
- Volume: 44, Issue: 3, page 365-377
- ISSN: 0232-0525
Access Full Article
topHow to cite
topHofmann, Karl Heinrich. "Semigroups and Hilbert's fifth problem." Mathematica Slovaca 44.3 (1994): 365-377. <http://eudml.org/doc/31812>.
@article{Hofmann1994,
author = {Hofmann, Karl Heinrich},
journal = {Mathematica Slovaca},
keywords = {Hilbert's fifth problem; Abel's problem; locally compact groups; locally Euclidean local group; local Lie group; analytic semigroups},
language = {eng},
number = {3},
pages = {365-377},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Semigroups and Hilbert's fifth problem},
url = {http://eudml.org/doc/31812},
volume = {44},
year = {1994},
}
TY - JOUR
AU - Hofmann, Karl Heinrich
TI - Semigroups and Hilbert's fifth problem
JO - Mathematica Slovaca
PY - 1994
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 44
IS - 3
SP - 365
EP - 377
LA - eng
KW - Hilbert's fifth problem; Abel's problem; locally compact groups; locally Euclidean local group; local Lie group; analytic semigroups
UR - http://eudml.org/doc/31812
ER -
References
top- ABEL N. H., Untersuchung der Funktionen zweier unabhängig veränderlicher Großen x and y, wie f(x,y), welche die Eigenschaft haben, daß f(z,f(x,y)) eine symmetrische Funktion von z, x und y ist, J. Reine Angew. Math.1 (1826). 11-15.
- ACZÉL J., The State of the second part of Hilbert's Fifth Problem, Bull. Anier. Math. Soc. 20 (1989). 153-163. (1989) Zbl0676.39004MR0981872
- BOREL A., Deane Montgomery 1909-1992, Notices Anier. Math. Soc. 39 (1992). 684-687. (1992) Zbl1194.01066MR1180013
- BROWN D. R., HOUSTON. R. S., Cancellative semigroups on manifolds, Semigroup Forum 35 (1987). 279-302. (1987) Zbl0626.22001MR0900105
- COMFORT W. W., HOFMANN. K. H., REMUS D., Topological groups and semigroups, In: Recent Progress in General Topology (M. Hušek and J. van Mill. eds.). Elsevier 1992, pp. 57-144. (1992) Zbl0798.22001MR1229123
- GLEASON. A. M., Groups without small subgroups, Ann. of Math. 56 (1952). 193-212. (1952) Zbl0049.30105MR0049203
- GRUNDHÖFFER T., SALZMANN H., STROPPEL M.: M., Compact Projective Plains, (In preparation).
- HILGERT J., HOFMANN. K. H., LAWSON. J. D., Lie groups, convex cones, and semigroups, Oxford university Press, 1989. (1989) Zbl0701.22001MR1032761
- HILGERT J., NEEB K.-H., Lie Semigroups and their Applications, Lecture Notes in Math. 1552. Springer-New York-Berlin, 1993. (1993) Zbl0807.22001MR1317811
- HOFMANN K. H., MOSTERT P. S., Elements of Compact Semigroups, Charles R. Merrill Books. Columbus. Ohio. 1966. (1966) Zbl0161.01901MR0209387
- HOFMANN K. H., WEISS W., More on cancellative semigroups on manifolds, Semigroup Forum 37 (1988), 93-111. (1988) Zbl0635.22003MR0929446
- IWASAWA K., On some types of topological groups, Ann. of Math. 50 (1949), 507-557. (1949) Zbl0034.01803MR0029911
- JACOBY R., Some theorems on the structure of locally compact local groups, Ann. of Math. 50 (1957), 36-69. (1957) Zbl0084.03202MR0089997
- von KOCH H., Sur un curbe continue sans tangente obtenue par une construction géométrique élémentaire, Acta Math. 30 (1906), 145-174. (1906) MR1555026
- Mathematical Developments Arising from Hilbert Problems, Proc. Sympos. Pure Math. XXXVIII. Amer. Math. Soc., Providence, R.I., 1976. (1976) Zbl0326.00002
- Deane Montgomery 1909-1992, . Collection of Addresses delivered at the Institute for Advanced Study on November 13, 1992, Inst. Adv. Study, Princeton, 1993. (1992)
- MONTGOMERY D., ZIPPIN L., Small subgroups of finite dimensional groups, Ann. of Math. 56 (1952), 213-241. (1952) Zbl0049.30107MR0049204
- NEEB. K.-H., Holomorphic Representation Theory and Coadjoint Orbits of Convexity Type, Habilitationsschrift, Technische Hochschule, Darmstadt, 1993. (1993)
- SCHWARZ S., Remark on bicompact semigroups, Mat.-Fyz. Časopis 5 (1955), 86-89. (1955) MR0077872
- SCHWARZ S., On Hausdorff bicompact semigroups, Czechoslovak Math. J. 5(80) (1955), 1-23. (1955) Zbl0068.02301MR0074769
- SCHWARZ S., Characters of bicompact semigroups, Czechoslovak Math. J. 5(80) (1955), 24-28. (1955) MR0074770
- SCHWARZ S., The theory of characters of commutative Hausdorff bicompact semigroups, Czechoslovak Math. J. 6(81) (1956), 330-364. (1956) MR0092098
- SKLJARENKO E. G., Zum 5. Hilbertschen Problem, In: Ostwalds Klassiker Exakt. Wiss. 252. Akad. Verl. Gesellsch., Leipzig, 1987, pp. 21-24. (1987)
- YAMABE H., On the conjecture of Iwasawa and Gleason, Ann. of Math 58 (1953), 48-54. (1953) Zbl0053.01601MR0054613
- YAMABE H., Generalization of a theorem of Gleason, Ann. of Math 58 (1953), 351-365. (1953) Zbl0053.01602MR0058607
- HOFMANN K. H., LAWSON J. D., Linearly ordered semigroups: A historical overview, In: Progress in Semigroups and Related Areas (K. H. Hofmann and M. Mislove, eds.), 1994 (To appear). (1994) MR0376461
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.