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Gorenstein–Harada theorem

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191: 232: 36: 251: 169: 130: 91: 58:. Therefore, the Gorenstein–Harada theorem splits the problem of classifying finite simple groups into these two sub-cases. 161: 122: 82:(1973). "Finite groups of sectional 2-rank at most 4". In Gagen, Terrence; Hale, Mark P. Jr.; Shult, Ernest E. (eds.). 225: 256: 218: 55: 84:
Finite groups '72. Proceedings of the Gainesville Conference on Finite Groups, March 23-24, 1972
165: 126: 87: 75: 28: 202: 155: 43: 140: 101: 136: 97: 79: 47: 32: 51: 35:, classifies the simple finite groups of sectional 2-rank at most 4. It is part of the 86:. North-Holland Math. Studies. Vol. 7. Amsterdam: North-Holland. pp. 57–67. 245: 20: 17: 121:. Memoirs of the American Mathematical Society. Vol. 147. Providence, R.I.: 116: 190: 198: 118:
Finite groups whose 2-subgroups are generated by at most 4 elements
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of rank at least 3, which implies that they have to be of either
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Reduced Fusion Systems over 2-Groups of Sectional Rank at Most 4
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Finite simple groups of section 2 with rank at least 5 have
206: 226: 8: 233: 219: 115:Gorenstein, D.; Harada, Koichiro (1974). 67: 37:classification of finite simple groups 7: 187: 185: 205:. You can help Knowledge (XXG) by 14: 189: 154:Bob Oliver (25 January 2016). 1: 162:American Mathematical Society 123:American Mathematical Society 252:Theorems about finite groups 273: 184: 46:with a self-centralizing 25:Gorenstein–Harada theorem 201:-related article is a 56:characteristic 2 type 214: 213: 171:978-1-4704-1548-8 164:. pp. 1, 3. 132:978-0-8218-1847-3 93:978-0-444-10451-9 44:Sylow 2-subgroups 29:Daniel Gorenstein 264: 235: 228: 221: 193: 186: 176: 175: 151: 145: 144: 112: 106: 105: 80:Harada, Koichiro 72: 16:In mathematical 272: 271: 267: 266: 265: 263: 262: 261: 242: 241: 240: 239: 182: 180: 179: 172: 153: 152: 148: 133: 114: 113: 109: 94: 74: 73: 69: 64: 48:normal subgroup 33:Koichiro Harada 12: 11: 5: 270: 268: 260: 259: 254: 244: 243: 238: 237: 230: 223: 215: 212: 211: 194: 178: 177: 170: 146: 131: 107: 92: 76:Gorenstein, D. 66: 65: 63: 60: 52:component type 13: 10: 9: 6: 4: 3: 2: 269: 258: 257:Algebra stubs 255: 253: 250: 249: 247: 236: 231: 229: 224: 222: 217: 216: 210: 208: 204: 200: 195: 192: 188: 183: 173: 167: 163: 159: 158: 150: 147: 142: 138: 134: 128: 124: 120: 119: 111: 108: 103: 99: 95: 89: 85: 81: 77: 71: 68: 61: 59: 57: 53: 49: 45: 40: 38: 34: 30: 26: 22: 19: 207:expanding it 196: 181: 156: 149: 117: 110: 83: 70: 41: 27:, proved by 24: 21:group theory 15: 246:Categories 62:References 199:algebra 141:0367048 102:0352243 168:  139:  129:  100:  90:  54:or of 23:, the 18:finite 197:This 203:stub 166:ISBN 127:ISBN 88:ISBN 31:and 248:: 160:. 137:MR 135:. 125:. 98:MR 96:. 78:; 39:. 234:e 227:t 220:v 209:. 174:. 143:. 104:.

Index

finite
group theory
Daniel Gorenstein
Koichiro Harada
classification of finite simple groups
Sylow 2-subgroups
normal subgroup
component type
characteristic 2 type
Gorenstein, D.
Harada, Koichiro
ISBN
978-0-444-10451-9
MR
0352243
Finite groups whose 2-subgroups are generated by at most 4 elements
American Mathematical Society
ISBN
978-0-8218-1847-3
MR
0367048
Reduced Fusion Systems over 2-Groups of Sectional Rank at Most 4
American Mathematical Society
ISBN
978-1-4704-1548-8
Stub icon
algebra
stub
expanding it
v

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