81:
71:
53:
22:
309:
Can someone please clarify that A in the definition of p-torsion is an additive group? While it is clear to see for people already familiar with torsion, I believe there is some ambiguity for the beginner.
133:
238:
186:
274:
212:
401:
127:
396:
103:
350:
311:
326:
94:
58:
33:
290:, where the "torsion coefficients" in some sense represent the twisting of the simplicial complex. The idea of using
369:
346:
325:
I changed it to (A, +), just to be perfectly clear. The entire article, where needed, uses additive notation.
21:
315:
330:
39:
294:
came later, and the torsion coefficients correspond to the torsion subgroups of the homology groups. --
80:
377:
287:
102:
on
Knowledge. If you would like to participate, please visit the project page, where you can join
277:
217:
86:
155:
Why is this called “torsion”? My only guess is that it has something to do with what happens to
70:
52:
158:
358:
247:
191:
373:
291:
390:
295:
99:
354:
76:
349:
redirects here, but I think its supposed to have its own article. See e.g.
381:
362:
334:
319:
298:
280:
15:
353:. The general case of non-rank-1 is not discussed here.
276:, the only element with finite order. Is that even close?
286:
I would guess (but it's only a guess) that it comes from
250:
220:
194:
161:
98:, a collaborative effort to improve the coverage of
268:
232:
206:
180:
132:This article has not yet received a rating on the
8:
19:
47:
249:
219:
193:
172:
160:
49:
402:Unknown-priority mathematics articles
351:Torsion-free abelian groups of rank 1
7:
368:There is now a separate article for
92:This article is within the scope of
38:It is of interest to the following
227:
14:
112:Knowledge:WikiProject Mathematics
397:Start-Class mathematics articles
115:Template:WikiProject Mathematics
79:
69:
51:
20:
224:
1:
363:17:12, 2 September 2012 (UTC)
106:and see a list of open tasks.
382:06:32, 6 December 2012 (UTC)
320:23:56, 18 January 2010 (UTC)
299:12:08, 25 January 2007 (UTC)
281:03:58, 25 January 2007 (UTC)
233:{\displaystyle n\to \infty }
305:clarification in definition
418:
370:torsion-free abelian group
347:torsion-free abelian group
341:Torsion-free abelian group
335:21:57, 1 April 2011 (UTC)
131:
64:
46:
134:project's priority scale
181:{\displaystyle y=x^{n}}
95:WikiProject Mathematics
270:
234:
208:
182:
28:This article is rated
271:
269:{\displaystyle y=x=1}
235:
209:
183:
248:
218:
192:
159:
118:mathematics articles
288:simplicial homology
240:—that is, the line
207:{\displaystyle x=1}
266:
230:
204:
178:
87:Mathematics portal
34:content assessment
148:
147:
144:
143:
140:
139:
409:
275:
273:
272:
267:
239:
237:
236:
231:
213:
211:
210:
205:
187:
185:
184:
179:
177:
176:
120:
119:
116:
113:
110:
89:
84:
83:
73:
66:
65:
55:
48:
31:
25:
24:
16:
417:
416:
412:
411:
410:
408:
407:
406:
387:
386:
343:
307:
292:homology groups
278:—Ben FrantzDale
246:
245:
216:
215:
190:
189:
168:
157:
156:
153:
117:
114:
111:
108:
107:
85:
78:
32:on Knowledge's
29:
12:
11:
5:
415:
413:
405:
404:
399:
389:
388:
385:
384:
342:
339:
338:
337:
306:
303:
302:
301:
265:
262:
259:
256:
253:
229:
226:
223:
203:
200:
197:
175:
171:
167:
164:
152:
151:Why “torsion”?
149:
146:
145:
142:
141:
138:
137:
130:
124:
123:
121:
104:the discussion
91:
90:
74:
62:
61:
56:
44:
43:
37:
26:
13:
10:
9:
6:
4:
3:
2:
414:
403:
400:
398:
395:
394:
392:
383:
379:
375:
371:
367:
366:
365:
364:
360:
356:
352:
348:
340:
336:
332:
328:
324:
323:
322:
321:
317:
313:
312:209.176.79.34
304:
300:
297:
293:
289:
285:
284:
283:
282:
279:
263:
260:
257:
254:
251:
243:
221:
201:
198:
195:
173:
169:
165:
162:
150:
135:
129:
126:
125:
122:
105:
101:
97:
96:
88:
82:
77:
75:
72:
68:
67:
63:
60:
57:
54:
50:
45:
41:
35:
27:
23:
18:
17:
344:
327:67.158.43.41
308:
241:
154:
93:
40:WikiProjects
345:Currently,
109:Mathematics
100:mathematics
59:Mathematics
30:Start-class
391:Categories
374:Anita5192
296:Zundark
188:around
244:about
242:twists
36:scale.
355:linas
378:talk
372:. —
359:talk
331:talk
316:talk
214:as
128:???
393::
380:)
361:)
333:)
318:)
228:∞
225:→
376:(
357:(
329:(
314:(
264:1
261:=
258:x
255:=
252:y
222:n
202:1
199:=
196:x
174:n
170:x
166:=
163:y
136:.
42::
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
