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Wolfgang Gaschütz

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from 1959 to 1962, professor extraordinarius from 1962 to 1964, and professor ordinarius (full professor) from 1964 to 1988. He taught at Kiel until his retirement as professor emeritus in 1988. He rejected calls to Karlsruhe and Mainz. He was a visiting professor at various universities in Europe
862:(32). 22 October 2005; Erinnerungen von W. Gaschütz an die Anfänge der Mathematik an der Universität Kiel in der Nachkriegszeit (Memories by W. Gaschütz of the beginnings of mathematics at the University of Kiel in the post-war period) 486: 915: 275: 101: 895: 890: 206: 494: 179:
and determined the number of generators of a finite solvable group in terms of structure and embedding of the chief factors of the Eulerian function.
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Gaschütz created a school of group theorists in Kiel, where there had been a gap in mathematical expertise in algebra since the death of
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in 1938. He served as an artillery officer in WW II, which ended for him in 1945 near Kiel. There in autumn 1945 he matriculated at the
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Gaschütz and his wife Gudrun were married in 1943 and became the parents of a son and two daughters.
194:. Gaschütz's theory is important for understanding finite solvable groups. He characterized solvable 825: 529: 125: 78: 829: 533: 804: 733: 411: 361: 310: 60: 799:; updated & revised translation of the original Chinese publication, Science Press, Beijing 790: 761: 755: 717: 557: 435: 428: 214: 164: 782: 709: 680: 651: 403: 382: 353: 325: 302: 283: 168: 729: 293:
Fong, P.; Gaschütz, W. (1961). "A note on the modular representations of solvable groups".
260: 86: 725: 210: 191: 160: 64: 172: 156: 29:(11 June 1920 – 7 November 2016) was a German mathematician, known for his research in 855: 884: 737: 415: 365: 314: 187: 34: 30: 462:
Wir trauern um Prof. Dr. Dr. hc Wolfgang Gaschütz ... Gudrun Gaschütz und Familie
176: 684: 407: 357: 250:, Journal für die reine und angewandte Mathematik vol. 190, 1952, pp. 93–107, 721: 656: 639: 306: 698:
Gaschütz, Wolfgang (1962). "Zur Theorie der endlichen auflösbaren Gruppen".
601: 175:. In 1959 he gave a formula for the Eulerian function introduced in 1936 by 72: 50: 46: 713: 386: 329: 287: 222: 198:. He is one of the pioneers of the theory of Fitting classes begun by 16: 55: 53:. He moved with his family in 1931 to Berlin, where he completed his 432: 15: 232: 424:
Lectures on subgroups of Sylow type in finite soluble groups
337:, Mathematische Zeitschrift, vol. 80, 1963, pp. 300–305, 279:, Mathematische Zeitschrift, vol. 58, 1953, pp. 160–170, 625:
Kieler Gelehrtenverzeichnis (Kiel Directory of Scholars)
574:, Proc. F. Scorina Gomel State Univ. No. 3, 2000, 7–10) 217:. In 2000 Gaschütz received an honorary doctorate from 640:"Die Eulersche funktion endlicher auflösbarer gruppen" 547:(article written by L. A. Shemetkov & R. Schmidt) 324:, Archiv der Mathematik, vol. 13, 1962, pp. 418–426. 263: 89: 269: 225:. His doctoral students include Joachim Neubüser. 95: 789:. Kluwer Academic Publishers. pp. viii–ix. 427:, Canberra, Australian National University 1979 209:conferences on group theory for many years with 163:in the 1950s, is best known for his research on 570:(translation by Stefanie Eminger of Gaschütz's 396:Journal für die reine und angewandte Mathematik 346:Journal für die reine und angewandte Mathematik 295:Journal für die reine und angewandte Mathematik 335:Zur Theorie der endlichen auflösbaren Gruppen 69:Die Theorie der Gruppen von endlicher Ordnung 8: 373:Gaschütz, Wolfgang (1971). "Sylowisatoren". 621:"Wolfgang Geschütz (Akademische Karriere)" 394:"Subgroup criteria for an abelian group". 202:in 1966 and the theory of Schunk classes. 182:In 1962, Gaschütz published his theory of 655: 495:Advances in Group Theory and Applications 262: 248:Zur Erweiterungstheorie endlicher Gruppen 88: 916:Academic staff of the University of Kiel 860:unizeit, Christian-Albrechts-Universität 167:, on questions of complementability, on 835:MacTutor History of Mathematics Archive 539:MacTutor History of Mathematics Archive 451: 344:"On presentations of finite p-groups". 219:Francisk Skorina Gomel State University 865: 802: 615: 613: 235:on 7 November 2016, at the age of 96. 523: 521: 519: 517: 515: 513: 511: 509: 81:with doctoral dissertation entitled 45:Gaschütz was born on 11 June 1920 in 7: 677:The Quarterly Journal of Mathematics 585:"Reviews of Andreas Speiser's books" 140:1967, 1973 & 1977); in the USA ( 673:"The Eulerian Functions of a Group" 77:) in 1949 under the supervision of 896:21st-century German mathematicians 891:20th-century German mathematicians 487:"Wolfgang Gaschütz: Life and Work" 264: 90: 14: 159:in 1928. Gaschütz, influenced by 757:A Course in the Theory of Groups 134:University of Naples Federico II 787:The Theory of Classes of Groups 644:Illinois Journal of Mathematics 103:-Untergruppe endlicher Gruppen) 71:. Gaschütz received his Ph.D. ( 469:Frankfurter Allgemeine Zeitung 277:-Untergruppe endlicher Gruppen 171:, and on the theory of finite 150:Australian National University 1: 606:Mathematics Genealogy Project 186:, giving a unified theory of 107:Wissenschaftliche Hilfskraft 33:, especially the theory of 942: 872:: CS1 maint: postscript ( 809:: CS1 maint: postscript ( 116:Außerplanmäßiger Professor 113:from 1956 to 1959. He was 911:University of Kiel alumni 856:"Schwimmende Universität" 760:. Springer. p. 406. 701:Mathematische Zeitschrift 408:10.1515/crll.1977.295.214 375:Mathematische Zeitschrift 358:10.1515/crll.1970.245.172 148:1968); and in Australia ( 142:Michigan State University 122:Queen Mary College London 840:University of St Andrews 685:10.1093/qmath/os-7.1.134 544:University of St Andrews 307:10.1515/crll.1961.208.73 926:People from Brandenburg 205:Gaschütz organized the 657:10.1215/ijm/1255455454 485:Laue, Hartmut (2018). 271: 130:University of Florence 109:from 1949 to 1956 and 97: 23: 21:Wolfgang Geschütz 1973 638:Gaschütz, W. (1959). 562:by Wolfgang Gaschütz" 272: 270:{\displaystyle \Phi } 242:Selected publications 146:University of Chicago 138:University of Warwick 98: 96:{\displaystyle \Phi } 63:. He was inspired by 19: 826:Robertson, Edmund F. 781:Wenbin, Guo (2000). 530:Robertson, Edmund F. 261: 87: 824:O'Connor, John J.; 534:"Wolfgang Gaschütz" 528:O'Connor, John J.; 473:. 12 November 2016. 322:Praefrattinigruppen 126:University of Padua 79:Karl-Heinrich Weise 830:"Joachim Neubüser" 714:10.1007/BF01162386 387:10.1007/BF01110166 330:10.1007/BF01650090 288:10.1007/BF01174137 267: 165:Frattini subgroups 93: 61:University of Kiel 24: 671:Hall, P. (1936). 602:Wolfgang Gaschütz 475:(obituary notice) 402:: 214–220. 1977. 352:: 172–176. 1970. 231:Gaschütz died in 215:Karl W. 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Index


group theory
finite groups
Karlshof
Oderbruch
Abitur
University of Kiel
Andreas Speiser
Promotion
Karl-Heinrich Weise
Außerplanmäßiger Professor
Queen Mary College London
University of Padua
University of Florence
University of Naples Federico II
University of Warwick
Michigan State University
University of Chicago
Australian National University
Ernst Steinitz
Helmut Wielandt
Frattini subgroups
group cohomology
solvable groups
Philip Hall
formations
Hall subgroups
Carter subgroups
T-groups
Bernd Fischer

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