Knowledge

Abnormal subgroup

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222: 263: 256: 221: 282: 287: 249: 92: 117: 106: 96: 125: 121: 47: 113: 78: 201: 152: 233: 179:
Zhang, Q. H. (1998). "Finite groups with only ss-quasinormal and abnormal subgroups".
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Zhang, Q. H. (1996). "Finite groups with only seminormal and abnormal subgroups".
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Zhang, Q. H. (1999). "s-Semipermutability and abnormality in finite groups".
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Here are some facts relating abnormality to other subgroup properties:
109:, and every weakly abnormal subgroup is a self-normalizing subgroup. 102:
The only normal subgroup that is also abnormal is the whole group.
237: 141:"Groups with only normal and abnormal subgroups" 257: 8: 264: 250: 156: 139:Fattahi, Abiabdollah (January 1974). 7: 218: 216: 65:lies in the subgroup generated by 25: 220: 1: 112:Every abnormal subgroup is a 105:Every abnormal subgroup is a 91:Every abnormal subgroup is a 236:. You can help Knowledge by 158:10.1016/0021-8693(74)90019-2 304: 215: 206:10.1080/00927879908826711 118:weakly pronormal subgroup 93:self-normalizing subgroup 107:weakly abnormal subgroup 232:-related article is a 151:(1). Elsevier: 15–19. 97:contranormal subgroup 18:Subabnormal subgroup 283:Subgroup properties 126:polynormal subgroup 122:paranormal subgroup 288:Group theory stubs 181:Northeast. Math. J 145:Journal of Algebra 114:pronormal subgroup 79:conjugate subgroup 53:such that for all 245: 244: 37:abnormal subgroup 16:(Redirected from 295: 266: 259: 252: 224: 217: 209: 200:(9): 4515–4524. 188: 175: 162: 160: 21: 303: 302: 298: 297: 296: 294: 293: 292: 273: 272: 271: 270: 213: 191: 178: 165: 138: 135: 95:, as well as a 31:, specifically 23: 22: 15: 12: 11: 5: 301: 299: 291: 290: 285: 275: 274: 269: 268: 261: 254: 246: 243: 242: 225: 211: 210: 189: 176: 168:J. Math. Study 163: 134: 131: 130: 129: 116:, and hence a 110: 103: 100: 24: 14: 13: 10: 9: 6: 4: 3: 2: 300: 289: 286: 284: 281: 280: 278: 267: 262: 260: 255: 253: 248: 247: 241: 239: 235: 231: 226: 223: 219: 214: 207: 203: 199: 195: 194:Comm. Algebra 190: 186: 182: 177: 173: 169: 164: 159: 154: 150: 146: 142: 137: 136: 132: 127: 123: 119: 115: 111: 108: 104: 101: 98: 94: 90: 89: 88: 85: 83: 80: 76: 72: 68: 64: 60: 56: 52: 49: 45: 42: 38: 34: 30: 19: 238:expanding it 230:group theory 227: 212: 197: 193: 184: 180: 171: 167: 148: 144: 86: 81: 77:denotes the 74: 70: 66: 62: 58: 54: 50: 43: 36: 33:group theory 26: 187:(1): 41–46. 174:(4): 10–15. 29:mathematics 277:Categories 133:References 124:, and a 73:, where 41:subgroup 228:This 48:group 46:of a 39:is a 35:, an 234:stub 120:, a 69:and 202:doi 153:doi 82:xHx 57:in 27:In 279:: 198:27 196:. 185:14 183:. 172:29 170:. 149:28 147:. 143:. 84:. 61:, 265:e 258:t 251:v 240:. 208:. 204:: 161:. 155:: 128:. 99:. 75:H 71:H 67:H 63:x 59:G 55:x 51:G 44:H 20:)

Index

Subabnormal subgroup
mathematics
group theory
subgroup
group
conjugate subgroup
self-normalizing subgroup
contranormal subgroup
weakly abnormal subgroup
pronormal subgroup
weakly pronormal subgroup
paranormal subgroup
polynormal subgroup
"Groups with only normal and abnormal subgroups"
doi
10.1016/0021-8693(74)90019-2
doi
10.1080/00927879908826711
Stub icon
group theory
stub
expanding it
v
t
e
Categories
Subgroup properties
Group theory stubs

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