Knowledge

Gorenstein–Walter theorem

Source 📝

277: 318: 337: 311: 342: 304: 231:; Walter, John H. (1965c), "The characterization of finite groups with dihedral Sylow 2-subgroups. III", 188:; Walter, John H. (1965b), "The characterization of finite groups with dihedral Sylow 2-subgroups. II", 145:; Walter, John H. (1965a), "The characterization of finite groups with dihedral Sylow 2-subgroups. I", 63: 233: 190: 147: 252: 228: 209: 185: 166: 142: 83: 284: 242: 199: 156: 47: 264: 221: 178: 260: 217: 174: 59: 288: 44: 331: 247: 204: 161: 37: 276: 17: 256: 213: 170: 79: 292: 33: 29: 25: 24:, proved by Gorenstein and Walter ( 312: 8: 319: 305: 246: 203: 160: 7: 273: 271: 14: 275: 112:an odd prime power. Note that A 1: 338:Theorems about finite groups 291:. You can help Knowledge by 248:10.1016/0021-8693(65)90015-3 205:10.1016/0021-8693(65)90019-0 162:10.1016/0021-8693(65)90027-X 359: 270: 22:Gorenstein–Walter theorem 343:Abstract algebra stubs 287:-related article is a 92:, or a subgroup of PΓL 78:) is isomorphic to a 36:), states that if a 234:Journal of Algebra 191:Journal of Algebra 148:Journal of Algebra 300: 299: 84:alternating group 58:) is the maximal 350: 321: 314: 307: 285:abstract algebra 279: 272: 267: 250: 224: 207: 181: 164: 100:) containing PSL 48:Sylow 2-subgroup 358: 357: 353: 352: 351: 349: 348: 347: 328: 327: 326: 325: 227: 184: 141: 138: 131: 127: 123: 119: 115: 103: 95: 91: 60:normal subgroup 12: 11: 5: 356: 354: 346: 345: 340: 330: 329: 324: 323: 316: 309: 301: 298: 297: 280: 269: 268: 241:(3): 354–393, 229:Gorenstein, D. 225: 198:(2): 218–270, 186:Gorenstein, D. 182: 143:Gorenstein, D. 137: 134: 129: 125: 121: 117: 113: 101: 93: 89: 13: 10: 9: 6: 4: 3: 2: 355: 344: 341: 339: 336: 335: 333: 322: 317: 315: 310: 308: 303: 302: 296: 294: 290: 286: 281: 278: 274: 266: 262: 258: 254: 249: 244: 240: 236: 235: 230: 226: 223: 219: 215: 211: 206: 201: 197: 193: 192: 187: 183: 180: 176: 172: 168: 163: 158: 155:(1): 85–151, 154: 150: 149: 144: 140: 139: 135: 133: 111: 107: 99: 88: 85: 81: 77: 73: 69: 65: 61: 57: 53: 49: 46: 42: 39: 35: 31: 27: 23: 19: 293:expanding it 282: 238: 232: 195: 189: 152: 146: 109: 105: 97: 86: 75: 71: 67: 55: 51: 40: 38:finite group 21: 15: 18:mathematics 332:Categories 136:References 257:0021-8693 214:0021-8693 171:0021-8693 124:(5) and A 120:(4) ≈ PSL 82:, or the 45:dihedral 265:0190220 222:0177032 179:0177032 80:2-group 66:, then 62:of odd 263:  255:  220:  212:  177:  169:  108:) for 50:, and 43:has a 20:, the 283:This 132:(9). 128:≈ PSL 116:≈ PSL 64:order 34:1965c 30:1965b 26:1965a 289:stub 253:ISSN 210:ISSN 167:ISSN 243:doi 200:doi 157:doi 16:In 334:: 261:MR 259:, 251:, 237:, 218:MR 216:, 208:, 194:, 175:MR 173:, 165:, 151:, 32:, 28:, 320:e 313:t 306:v 295:. 245:: 239:2 202:: 196:2 159:: 153:2 130:2 126:6 122:2 118:2 114:5 110:q 106:q 104:( 102:2 98:q 96:( 94:2 90:7 87:A 76:G 74:( 72:O 70:/ 68:G 56:G 54:( 52:O 41:G

Index

mathematics
1965a
1965b
1965c
finite group
dihedral
Sylow 2-subgroup
normal subgroup
order
2-group
alternating group
Gorenstein, D.
Journal of Algebra
doi
10.1016/0021-8693(65)90027-X
ISSN
0021-8693
MR
0177032
Gorenstein, D.
Journal of Algebra
doi
10.1016/0021-8693(65)90019-0
ISSN
0021-8693
MR
0177032
Gorenstein, D.
Journal of Algebra
doi

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.