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Serial subgroup

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de Giovanni, F.; A. Russo; G. Vincenzi (2002). "GROUPS WITH RESTRICTED CONJUGACY CLASSES".
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Hartley, B. (24 October 2008) . "Serial subgroups of locally finite groups".
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Mathematical Proceedings of the Cambridge Philosophical Society
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may be too technical for most readers to understand
373: 284: 282: 8: 380: 366: 212:, then the set of all serial subgroups of 59:Learn how and when to remove this message 43:, without removing the technical details. 259: 41:make it understandable to non-experts 7: 334: 332: 180:is well-ordered and ascending, then 117:such that for consecutive subgroups 172:. Then every subnormal subgroup of 14: 336: 20: 152:If the chain is finite between 1: 352:. You can help Knowledge by 224:of all normal subgroups of 420: 331: 141:. The relation is written 311:10.1017/S0305004100050441 176:is serial. If the chain 238:Characteristic subgroup 348:-related article is a 192:; if descending, then 210:locally finite group 101:if there is a chain 399:Subgroup properties 303:1972PCPS...71..199H 218:complete sublattice 198:descendant subgroup 404:Group theory stubs 186:ascendant subgroup 166:subnormal subgroup 361: 360: 69: 68: 61: 411: 382: 375: 368: 340: 333: 323: 322: 286: 277: 276: 264: 147:H is serial in G 105:of subgroups of 64: 57: 53: 50: 44: 24: 23: 16: 419: 418: 414: 413: 412: 410: 409: 408: 389: 388: 387: 386: 329: 327: 326: 288: 287: 280: 269:Serdica Math. J 266: 265: 261: 256: 234: 135:normal subgroup 109:extending from 95:serial subgroup 65: 54: 48: 45: 37:help improve it 34: 25: 21: 12: 11: 5: 417: 415: 407: 406: 401: 391: 390: 385: 384: 377: 370: 362: 359: 358: 341: 325: 324: 297:(2): 199–201. 278: 258: 257: 255: 252: 251: 250: 245: 243:Normal closure 240: 233: 230: 67: 66: 28: 26: 19: 13: 10: 9: 6: 4: 3: 2: 416: 405: 402: 400: 397: 396: 394: 383: 378: 376: 371: 369: 364: 363: 357: 355: 351: 347: 342: 339: 335: 330: 320: 316: 312: 308: 304: 300: 296: 292: 285: 283: 279: 274: 270: 263: 260: 253: 249: 246: 244: 241: 239: 236: 235: 231: 229: 227: 223: 219: 215: 211: 207: 203: 199: 195: 191: 187: 183: 179: 175: 171: 167: 163: 159: 155: 150: 148: 144: 140: 136: 132: 128: 124: 120: 116: 112: 108: 104: 100: 96: 92: 89: 85: 82: 78: 74: 63: 60: 52: 42: 38: 32: 29:This article 27: 18: 17: 354:expanding it 346:group theory 343: 328: 294: 290: 272: 268: 262: 225: 213: 205: 201: 193: 189: 181: 177: 173: 169: 161: 157: 153: 151: 146: 142: 138: 130: 126: 122: 118: 114: 110: 106: 102: 98: 94: 90: 83: 77:group theory 73:mathematical 70: 55: 49:October 2013 46: 30: 248:Normal core 86:of a given 393:Categories 275:: 241–254. 254:References 319:120958627 75:field of 232:See also 81:subgroup 299:Bibcode 222:lattice 220:in the 216:form a 160:, then 143:H ser G 71:In the 35:Please 317:  184:is an 344:This 315:S2CID 208:is a 204:. If 196:is a 164:is a 133:is a 93:is a 88:group 350:stub 156:and 121:and 79:, a 307:doi 200:of 188:of 168:of 145:or 137:of 125:in 113:to 97:of 39:to 395:: 313:. 305:. 295:71 293:. 281:^ 273:28 271:. 228:. 149:. 129:, 381:e 374:t 367:v 356:. 321:. 309:: 301:: 226:G 214:G 206:G 202:G 194:H 190:G 182:H 178:C 174:G 170:G 162:H 158:G 154:H 139:Y 131:X 127:C 123:Y 119:X 115:G 111:H 107:G 103:C 99:G 91:G 84:H 62:) 56:( 51:) 47:( 33:.

Index

help improve it
make it understandable to non-experts
Learn how and when to remove this message
mathematical
group theory
subgroup
group
normal subgroup
subnormal subgroup
ascendant subgroup
descendant subgroup
locally finite group
complete sublattice
lattice
Characteristic subgroup
Normal closure
Normal core


Bibcode
1972PCPS...71..199H
doi
10.1017/S0305004100050441
S2CID
120958627
Stub icon
group theory
stub
expanding it
v

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