220:
261:
202:
184:
254:
219:
280:
285:
247:
136:
168:
98:
76:
T-group is either abelian or
Hamiltonian, because in a nilpotent group, every subgroup is subnormal.
29:
144:
37:
198:
180:
66:
52:
90:
176:
140:
73:
33:
231:
128:
117:
86:
274:
106:
59:
227:
45:
21:
158:
is a group in which permutability is transitive. A finite T-group is a PT-group.
113:
17:
193:
Ballester-Bolinches, Adolfo; Esteban-Romero, Ramon; Asaad, Mohamed (2010),
155:
235:
82:Every homomorphic image of a T-group is a T-group.
79:Every normal subgroup of a T-group is a T-group.
40:is normal. Here are some facts about T-groups:
255:
8:
97:The solvable T-groups were characterized by
262:
248:
101:as being exactly the solvable groups
7:
216:
214:
14:
218:
173:A Course in the Theory of Groups
36:is transitive, that is, every
1:
234:. You can help Knowledge by
302:
213:
195:Products of Finite Groups
32:in which the property of
105:with an abelian normal
230:-related article is a
197:, Walter de Gruyter,
281:Properties of groups
175:, Berlin, New York:
169:Robinson, Derek J.S.
145:power automorphisms
286:Group theory stubs
38:subnormal subgroup
20:, in the field of
243:
242:
204:978-3-11-022061-2
186:978-0-387-94461-6
99:Wolfgang Gaschütz
67:Hamiltonian group
53:quasisimple group
293:
264:
257:
250:
222:
215:
207:
189:
301:
300:
296:
295:
294:
292:
291:
290:
271:
270:
269:
268:
211:
205:
192:
187:
177:Springer-Verlag
167:
164:
12:
11:
5:
299:
297:
289:
288:
283:
273:
272:
267:
266:
259:
252:
244:
241:
240:
223:
209:
208:
203:
190:
185:
163:
160:
143:as a group of
129:Dedekind group
118:quotient group
116:such that the
95:
94:
83:
80:
77:
70:
63:
56:
49:
13:
10:
9:
6:
4:
3:
2:
298:
287:
284:
282:
279:
278:
276:
265:
260:
258:
253:
251:
246:
245:
239:
237:
233:
229:
224:
221:
217:
212:
206:
200:
196:
191:
188:
182:
178:
174:
170:
166:
165:
161:
159:
157:
152:
150:
146:
142:
138:
134:
130:
126:
122:
119:
115:
111:
108:
107:Hall subgroup
104:
100:
92:
88:
84:
81:
78:
75:
71:
69:is a T-group.
68:
64:
62:is a T-group.
61:
60:abelian group
57:
55:is a T-group.
54:
50:
48:is a T-group.
47:
43:
42:
41:
39:
35:
31:
27:
23:
19:
236:expanding it
228:group theory
225:
210:
194:
172:
153:
148:
132:
124:
120:
109:
102:
96:
46:simple group
25:
22:group theory
15:
141:conjugation
89:T-group is
18:mathematics
275:Categories
162:References
137:acted upon
91:metabelian
74:nilpotent
34:normality
171:(1996),
156:PT-group
87:solvable
112:of odd
26:T-group
201:
183:
85:Every
72:Every
65:Every
58:Every
51:Every
44:Every
226:This
127:is a
114:order
30:group
28:is a
232:stub
199:ISBN
181:ISBN
131:and
24:, a
147:by
139:by
135:is
16:In
277::
179:,
154:A
151:.
263:e
256:t
249:v
238:.
149:G
133:H
125:H
123:/
121:G
110:H
103:G
93:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
