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Brauer–Suzuki theorem

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Finite simple groups. Proceedings of an Instructional Conference organized by the London Mathematical Society (a NATO Advanced Study Institute), Oxford, September 1969.
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Proceedings of the National Academy of Sciences of the United States of America
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1960 Institute on finite groups: held at California Institute of Technology
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A generalization of the Brauer–Suzuki theorem is given by
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gives a detailed proof of the Brauer–Suzuki theorem.
62:of order 2. In particular, such a group cannot be 315: 8: 25: 322: 308: 194: 160: 105: 33: 29: 7: 276: 274: 254:"Applications of group characters" 14: 278: 1: 341:Theorems about finite groups 294:. You can help Knowledge by 107:10.1016/0021-8693(64)90011-0 362: 273: 26:Brauer & Suzuki (1959) 162:10.1073/pnas.45.12.1757 58:, then the group has a 346:Abstract algebra stubs 290:-related article is a 42:generalized quaternion 256:, in Hall, M. (ed.), 22:Brauer–Suzuki theorem 226:, pp. 249–327, 153:1959PNAS...45.1757B 47:and no non-trivial 36:, states that if a 93:Journal of Algebra 303: 302: 267:978-0-8218-1406-2 233:978-0-12-563850-0 147:(12): 1757–1759, 353: 324: 317: 310: 288:abstract algebra 282: 275: 270: 244: 212:Dade, Everett C. 207: 198: 164: 126: 109: 49:normal subgroups 45:Sylow 2-subgroup 361: 360: 356: 355: 354: 352: 351: 350: 331: 330: 329: 328: 268: 248: 234: 210: 129: 86: 83: 12: 11: 5: 359: 357: 349: 348: 343: 333: 332: 327: 326: 319: 312: 304: 301: 300: 283: 272: 271: 266: 250:Suzuki, Michio 246: 232: 224:Academic Press 222:, Boston, MA: 216:Higman, Graham 208: 135:Suzuki, Michio 127: 100:(4): 307–334, 82: 79: 13: 10: 9: 6: 4: 3: 2: 358: 347: 344: 342: 339: 338: 336: 325: 320: 318: 313: 311: 306: 305: 299: 297: 293: 289: 284: 281: 277: 269: 263: 259: 255: 251: 247: 243: 239: 235: 229: 225: 221: 217: 213: 209: 206: 202: 197: 192: 188: 184: 180: 176: 172: 168: 163: 158: 154: 150: 146: 142: 141: 136: 132: 128: 125: 121: 117: 113: 108: 103: 99: 95: 94: 89: 85: 84: 80: 78: 76: 72: 67: 65: 61: 57: 54: 50: 46: 43: 39: 35: 34:Brauer (1964) 31: 30:Suzuki (1962) 27: 23: 19: 296:expanding it 285: 257: 219: 144: 138: 97: 91: 68: 38:finite group 24:, proved by 21: 15: 18:mathematics 335:Categories 131:Brauer, R. 88:Brauer, R. 81:References 75:Z* theorem 71:Glauberman 171:0027-8424 116:0021-8693 252:(1962), 218:(eds.), 205:16590569 242:0360785 187:0109846 149:Bibcode 124:0174636 264:  240:  230:  203:  196:222795 193:  185:  177:  169:  122:  114:  64:simple 60:center 40:has a 20:, the 286:This 179:90063 175:JSTOR 56:order 292:stub 262:ISBN 228:ISBN 201:PMID 167:ISSN 112:ISSN 191:PMC 157:doi 102:doi 73:'s 53:odd 51:of 16:In 337:: 238:MR 236:, 199:, 189:, 183:MR 181:, 173:, 165:, 155:, 145:45 143:, 133:; 120:MR 118:, 110:, 96:, 77:. 66:. 32:, 28:, 323:e 316:t 309:v 298:. 159:: 151:: 104:: 98:1

Index

mathematics
Brauer & Suzuki (1959)
Suzuki (1962)
Brauer (1964)
finite group
generalized quaternion
Sylow 2-subgroup
normal subgroups
odd
order
center
simple
Glauberman
Z* theorem
Brauer, R.
Journal of Algebra
doi
10.1016/0021-8693(64)90011-0
ISSN
0021-8693
MR
0174636
Brauer, R.
Suzuki, Michio
Proceedings of the National Academy of Sciences of the United States of America
Bibcode
1959PNAS...45.1757B
doi
10.1073/pnas.45.12.1757
ISSN

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