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Talk:Group homomorphism

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84: 74: 53: 163: 22: 215:. That article defines a g. isom. as "a bijective group homomorphism". Therefore it would seem that there's no need for one to "show that its inverse is also a group homomorphism", as this article mentions in its 140: 238:
It would be useful to define the relation "H is homorphic to G" and say whether this means that there is a homomorphism from H to G or whether it means there is a homomorphism from G to H.
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I would not merge the two articles, homomorphisms are just morphisms in some category. Group homomorphisms are so much more special. But linking the articles is a good idea, go ahead!
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I think that Hom(G,A) becomes an abelian group when A is abelian and G may be any group. It might be worth changing that section to mention this.
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It seems like a lot of the content on this page is similar too, or duplicated from, the generic wiki page on
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on Knowledge. If you would like to participate, please visit the project page, where you can join
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There's a slight divergence of the definition of isomorphism between this article and
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Let me know how I can tweak this picture so it fits with the article's style--
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Section Image and kernel: on the notation of multiplication in the group
283:. Should we merge them? Make this a section on the Homomorphism page? 161: 15: 183:
being in the article proves that it fits the style. ^^ --
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I never heard such a term. Can you cite some source? --
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At the very least we should probably link to the main
344: 101:, a collaborative effort to improve the coverage of 350: 207:Relationship between bijection and isomorphism 8: 330:It looks strange to me that in the section 47: 343: 49: 19: 7: 95:This article is within the scope of 217:"Types of homomorphic maps" section 38:It is of interest to the following 391:High-priority mathematics articles 290:article *somewhere* on this page. 14: 115:Knowledge:WikiProject Mathematics 118:Template:WikiProject Mathematics 82: 72: 51: 20: 199:Homomorphisms of abelian groups 135:This article has been rated as 234:Define "H is homomorphic to G" 1: 372:20:23, 1 September 2018 (UTC) 265:20:49, 1 September 2018 (UTC) 109:and see a list of open tasks. 386:C-Class mathematics articles 317:15:05, 6 February 2017 (UTC) 302:01:01, 6 February 2017 (UTC) 407: 250:07:44, 22 June 2013 (UTC) 229:11:51, 30 July 2009 (UTC) 193:11:51, 30 July 2009 (UTC) 134: 67: 46: 334:, the multiplication on 174:09:30, 31 May 2007 (UTC) 141:project's priority scale 98:WikiProject Mathematics 352: 351:{\displaystyle \circ } 166: 28:This article is rated 353: 165: 342: 121:mathematics articles 348: 167: 90:Mathematics portal 34:content assessment 213:group isomorphism 155: 154: 151: 150: 147: 146: 398: 357: 355: 354: 349: 332:Image and kernel 123: 122: 119: 116: 113: 92: 87: 86: 76: 69: 68: 63: 55: 48: 31: 25: 24: 16: 406: 405: 401: 400: 399: 397: 396: 395: 376: 375: 340: 339: 328: 309:Jakob.scholbach 277: 236: 209: 201: 160: 120: 117: 114: 111: 110: 88: 81: 61: 32:on Knowledge's 29: 12: 11: 5: 404: 402: 394: 393: 388: 378: 377: 347: 338:is denoted as 327: 321: 320: 319: 276: 269: 268: 267: 235: 232: 208: 205: 200: 197: 196: 195: 159: 156: 153: 152: 149: 148: 145: 144: 133: 127: 126: 124: 107:the discussion 94: 93: 77: 65: 64: 56: 44: 43: 37: 26: 13: 10: 9: 6: 4: 3: 2: 403: 392: 389: 387: 384: 383: 381: 374: 373: 369: 365: 361: 345: 337: 333: 326: 322: 318: 314: 310: 306: 305: 304: 303: 299: 295: 291: 289: 284: 282: 274: 270: 266: 262: 258: 254: 253: 252: 251: 247: 243: 239: 233: 231: 230: 226: 222: 221:Jokes Free4Me 218: 214: 206: 204: 198: 194: 190: 186: 185:Jokes Free4Me 182: 178: 177: 176: 175: 172: 164: 157: 142: 138: 137:High-priority 132: 129: 128: 125: 108: 104: 100: 99: 91: 85: 80: 78: 75: 71: 70: 66: 62:High‑priority 60: 57: 54: 50: 45: 41: 35: 27: 23: 18: 17: 359: 335: 329: 324: 292: 288:Homomorphism 285: 281:Homomorphism 278: 273:Homomorphism 240: 237: 210: 202: 168: 136: 96: 40:WikiProjects 271:Merge with 171:Cronholm144 112:Mathematics 103:mathematics 59:Mathematics 380:Categories 364:Shiyu Ji 294:Crazy2be 257:Shiyu Ji 179:I guess 242:Tashiro 158:Picture 139:on the 30:C-class 36:scale. 219:. -- 181:ver.2 368:talk 362:. -- 313:talk 298:talk 261:talk 246:talk 225:talk 189:talk 131:High 382:: 370:) 346:∘ 315:) 300:) 263:) 248:) 227:) 191:) 366:( 360:G 336:G 325:G 311:( 296:( 275:? 259:( 244:( 223:( 187:( 143:. 42::

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Cronholm144
09:30, 31 May 2007 (UTC)
ver.2
Jokes Free4Me
talk
11:51, 30 July 2009 (UTC)
group isomorphism
"Types of homomorphic maps" section
Jokes Free4Me
talk
11:51, 30 July 2009 (UTC)
Tashiro
talk
07:44, 22 June 2013 (UTC)
Shiyu Ji
talk

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