319:
Die
Theorie der Gruppen von endlicher Ordnung, mit Anwendungen auf algebraische Zahlen und Gleichungen sowie auf die Krystallographie, von Andreas Speiser
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82:
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79:
32:
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who replaced the 12 with a 6. Unpublished work on the finite case was also done by
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is at least 71, and gave near complete descriptions of the behavior for smaller
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20:
332:
Collins, Michael J. (2007). "On Jordan's theorem for complex linear groups".
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47:
304:
Representation Theory of Finite Groups and
Associative Algebras
321:. New York: Dover Publications. pp. 216–220.
243:, showed that in the finite case, one can take
152:proved a more general result that applies when
16:A mathematical theorem on finite linear groups
8:
306:. John Wiley & Sons. pp. 258–262.
35:. In that form, it states that there is a
31:is a theorem in its original form due to
290:
288:
29:Jordan's theorem on finite linear groups
284:
241:classification of finite simple groups
156:is not assumed to be finite, but just
227:. This was subsequently improved by
7:
14:
93:with the following properties:
1:
192:, who showed that as long as
176:) + 1) − ((8
46:) such that given a finite
382:
188: ≥ 3) is due to
317:Speiser, Andreas (1945).
229:Hans Frederick Blichfeldt
196:is finite, one can take
366:Theorems in group theory
334:Journal of Group Theory
225:prime-counting function
168:) may be taken to be
85:, there is a subgroup
184:A tighter bound (for
346:10.1515/JGT.2007.032
160:. Schur showed that
25:Jordan–Schur theorem
273:Burnside's problem
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235:. Subsequently,
233:Boris Weisfeiler
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296:Curtis, Charles
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251:) = (
237:Michael Collins
112:normal subgroup
57:
17:
12:
11:
5:
379:
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369:
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352:
351:
340:(4): 411–423.
324:
309:
300:Reiner, Irving
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268:
265:
213:
212:
207:) =
182:
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147:
146:
137:) ≤
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105:
33:Camille Jordan
27:also known as
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2:
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121:The index of
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252:
248:
244:
239:, using the
220:
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200:
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183:
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177:
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76:
72:
63:
59:
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43:
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28:
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255:+ 1)! when
129:satisfies (
21:mathematics
279:References
70:invertible
223:) is the
360:Category
302:(1962).
267:See also
158:periodic
133: :
83:matrices
48:subgroup
37:function
190:Speiser
102:abelian
80:complex
53:of the
215:where
23:, the
150:Schur
110:is a
55:group
211:! 12
75:-by-
342:doi
172:((8
125:in
114:of
100:is
89:of
68:of
58:GL(
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338:10
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298:;
287:^
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