Knowledge (XXG)

Capable group

Source 📝

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Baer, Reinhold (1938), "Groups with preassigned central and central quotient group",
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group of some group. These groups were first studied by
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Bounds on the index of the center in capable groups
126:Transactions of the American Mathematical Society 210: 8: 217: 203: 137: 7: 171: 169: 189:. You can help Knowledge (XXG) by 47:is capable if and only if it is a 14: 173: 1: 257: 168: 185:-related article is a 236:Properties of groups 40:, who showed that a 32:if it occurs as the 241:Group theory stubs 34:inner automorphism 20:, in the realm of 198: 197: 248: 219: 212: 205: 177: 170: 150: 141: 256: 255: 251: 250: 249: 247: 246: 245: 226: 225: 224: 223: 166: 157: 139:10.2307/1989887 123: 120: 113: 104: 94: 82: 73: 64: 12: 11: 5: 254: 252: 244: 243: 238: 228: 227: 222: 221: 214: 207: 199: 196: 195: 178: 164: 163: 156: 155:External links 153: 152: 151: 132:(3): 387–412, 119: 116: 109: 105: =  99: 89: 78: 69: 62: 28:is said to be 13: 10: 9: 6: 4: 3: 2: 253: 242: 239: 237: 234: 233: 231: 220: 215: 213: 208: 206: 201: 200: 194: 192: 188: 184: 179: 176: 172: 167: 162: 159: 158: 154: 149: 145: 140: 135: 131: 127: 122: 121: 117: 115: 112: 108: 102: 98: 92: 88: 85: 81: 77: 72: 68: 61: 58: 54: 53:cyclic groups 50: 46: 45:abelian group 43: 39: 38:Reinhold Baer 35: 31: 27: 23: 19: 191:expanding it 183:group theory 180: 165: 129: 125: 110: 106: 100: 96: 90: 86: 79: 75: 70: 66: 59: 29: 22:group theory 15: 18:mathematics 230:Categories 118:References 103: −1 93: +1 148:1989887 84:divides 65:, ..., 49:product 30:capable 146:  74:where 57:orders 42:finite 181:This 144:JSTOR 26:group 187:stub 95:and 24:, a 134:doi 55:of 51:of 16:In 232:: 142:, 130:44 128:, 114:. 218:e 211:t 204:v 193:. 136:: 111:k 107:n 101:k 97:n 91:i 87:n 80:i 76:n 71:k 67:n 63:1 60:n

Index

mathematics
group theory
group
inner automorphism
Reinhold Baer
finite
abelian group
product
cyclic groups
orders
divides
doi
10.2307/1989887
JSTOR
1989887
Bounds on the index of the center in capable groups
Stub icon
group theory
stub
expanding it
v
t
e
Categories
Properties of groups
Group theory stubs

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