125:
The original statement of Walter's theorem did not quite identify the Ree groups, but only stated that the corresponding groups have a similar subgroup structure as Ree groups. Thompson (
498:
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404:
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445:
81:
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49:
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of odd index that is a product of groups each of which is a 2-group or one of the
443:(1969), "The characterization of finite groups with abelian Sylow 2-subgroups.",
466:
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178:
105:
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417:
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402:(1967), "Finite groups with abelian Sylow 2-subgroups of order 8",
155:
Bender, Helmut (1970), "On groups with abelian Sylow 2-subgroups",
238:
Enguehard, Michel (1986), "Caractérisation des groupes de Ree",
64:
is a finite group whose 2-sylow subgroups are abelian, then
138:
200:; Hunt, D. (1980), "Thompson's problem (σ=3)",
141:later showed that they are all Ree groups, and
118:denotes the unique largest normal subgroup of
8:
145:gave a unified exposition of this result.
329:
142:
265:(1967), "Toward a characterization of E
134:
130:
126:
357:(1977), "Toward a characterization of E
310:(1972), "Toward a characterization of E
45:
29:
25:
7:
139:Bombieri, Odlyzko & Hunt (1980)
14:
60:Walter's theorem states that if
1:
499:Theorems about finite groups
377:10.1016/0021-8693(77)90276-9
331:10.1016/0021-8693(72)90074-9
285:10.1016/0021-8693(67)90080-4
515:
158:Mathematische Zeitschrift
52:to give a simpler proof.
405:Inventiones Mathematicae
203:Inventiones Mathematicae
100:= 3 or 5 mod 8, or the
446:Annals of Mathematics
16:In mathematics, the
418:10.1007/BF01428899
364:Journal of Algebra
317:Journal of Algebra
272:Journal of Algebra
216:10.1007/BF01402275
171:10.1007/BF01109839
32:), describes the
22:John H. Walter
449:, Second Series,
355:Thompson, John G.
308:Thompson, John G.
263:Thompson, John G.
506:
485:
436:
395:
350:
333:
303:
258:
234:
194:Bombieri, Enrico
189:
143:Enguehard (1986)
38:Sylow 2-subgroup
514:
513:
509:
508:
507:
505:
504:
503:
489:
488:
459:10.2307/1970648
441:Walter, John H.
439:
400:Walter, John H.
398:
360:
353:
313:
306:
268:
261:
242:(142): 49–139,
237:
198:Odlyzko, Andrew
192:
154:
151:
122:of odd order.)
113:
87:
78:normal subgroup
58:
50:Bender's method
12:
11:
5:
512:
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437:
396:
371:(1): 162–166,
358:
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311:
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266:
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111:
102:Janko group J1
85:
57:
54:
18:Walter theorem
13:
10:
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3:
2:
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210:(1): 77–100,
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82:simple groups
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55:
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46:Bender (1970)
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34:finite groups
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23:
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114:(3). (Here
108:
97:
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89:
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69:
65:
61:
59:
20:, proved by
17:
15:
453:: 405–514,
412:: 332–376,
361:(q). III",
324:: 610–621,
279:: 406–414,
165:: 164–176,
314:(q). II",
240:Astérisque
149:References
106:Ree groups
467:0003-486X
426:0020-9910
385:0021-8693
340:0021-8693
293:0021-8693
248:0303-1179
224:0020-9910
179:0025-5874
56:Statement
493:Category
76:) has a
483:0249504
475:1970648
434:0218445
393:0453858
348:0313377
301:0223448
256:0873958
232:0570875
187:0288180
96:= 2 or
42:abelian
24: (
481:
473:
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432:
424:
391:
383:
346:
338:
299:
291:
269:(q)",
254:
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230:
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185:
177:
137:) and
92:) for
36:whose
471:JSTOR
104:, or
48:used
463:ISSN
422:ISSN
381:ISSN
336:ISSN
289:ISSN
244:ISSN
220:ISSN
175:ISSN
135:1977
131:1972
127:1967
116:O(G)
30:1969
26:1967
455:doi
414:doi
373:doi
326:doi
281:doi
212:doi
167:doi
163:117
84:PSL
40:is
495::
479:MR
477:,
469:,
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430:MR
428:,
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367:,
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342:,
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