О группах автоморфизмов некоторых классов разрешимых групп
В настоящей статье изучаются полные подгруппы автоморфизмов группы всех автоморфизмов некоторых классов абстрактных групп. В целях упрощения формулировок предложений условимся называть группой автоморфизмов заданной группы не обязательно группу всех ее автоморфизмов, а лишь подгруппу последней с те...
Збережено в:
| Дата: | 1953 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1953
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/7750 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512733443653632 |
|---|---|
| author | Чарин, В. С. Чарин, В. С. |
| author_facet | Чарин, В. С. Чарин, В. С. |
| author_sort | Чарин, В. С. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-08-15T10:11:31Z |
| description | В настоящей статье изучаются полные подгруппы автоморфизмов группы всех автоморфизмов некоторых классов абстрактных групп. В целях упрощения формулировок предложений условимся называть группой автоморфизмов заданной группы не обязательно группу всех ее автоморфизмов, а лишь подгруппу последней с тем или иным свойством. |
| first_indexed | 2026-03-24T03:33:29Z |
| format | Article |
| fulltext |
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CMoTpeHHaH BbiiUe, TO 3a iTOJIHHM rryCTbiC MCCTa H3 11pilBC,UCHHOf0 MHO)}{eCTBa
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Hb!C HYJIHMH. DoJiyiiiiM pHJI.bi THrra
cp = ( ... 0, ... , A,.IAn+t• A,.+2·· . . , A,+_t, ... ).
B coBoKyrrHOCTH Bcex TaKHx pH.n.oB MO)}{HO orrpe.n.eJIHTb orrepaumo CJio
)}{eHuH:
( ... , 0, ... , A,.IA,.+t• A,.+2•· . . ) + ( ... ,0, ... , BmiBm+l,Bm+~·· . . ) =
=( .. . ,0, ... , An+B,.IAn+t+Brn+t.· . . ),
qTo o6pamaeT ee B rpyrrrry, aHaJIOrHIIHYIO rpyrrrre W, HO y)}{e rroJIHyiO.
JIHTEPATYPA
I. A. r. K y p o Ill, Teopmr rpynn, Ofl13, 1944'.
2. A . H. M a JI h u: e IJ, 0 rpynnax Koue•moro paura, MaT. c6., 22 (64) (1948),
351-352.
3. A. H. M a JI h u: e IJ, 0 ueKOTOphlx KJiaccax 6ecKoiie•mhlx pa3pelllHMhiX rpynn,
MaT. c6., 28 (70) (1951), 567-586.
4. H. H. M ll r K o IJ a, 0 rpynrrax KouetJuoro paara, l13IJ. AH CCCP, cepHl! MaT.,
13 (1949), 495-512.
5. )l. M. C M H p u o IJ, 0 rpynrrax aiJTOMopcjJH3MOIJ pa3pelllHMbiX rpynrr, MaT. c6., 32' (74)
(1953), 365-384.
6. H. c!>. C e c e K H H, 0 JIOKaJibHO HHJibiiOTeHTHhiX rpyrrnax 6e3 Kpy•reHHH, MaT. c6.,
32 (74') (1953), 407-442.
7. C. H. 4 e p H H K 0 B, DOJIHble rpyrrrrhl, 06Jia,lJ.aiOIJJ:He B03paCTaJOiu:HM U:eHTpaJibHhiM
Pli.D.OM, MaT. c6., 18 (60) (1946), 397-422.
8. B. C. LI a pH n, K Teopnn JioKaJibHO HHJihiiOTeHTHhiX rpyrrrr, MaT. c6., 29 (71)
(1951), 403-4'54.
9. B. C. 4 a p H H, 06 YCJIOBHH MHHHMaJ!bHOCTH ,lJ.JIH HOpMaJibHbiX ,lJ.eJIHTeJieii JIOKaJibHO
pagpelllHMhiX rpyrm, MaT. c6., 33 (75) ( 1953) (B rretJaTH).
10. JI. A. K a JI y JK a H H, Sur quelques proprietes des groups d'automorphismes d'un
group abstrait, C. R. Acad . Sci., Paris, 234, N~ 21 (!950), 2067-2069.
DoJiy•rena 12 HIOHH 1953 r.
Csep.n.JioacK.
0363
0364
0365
0366
0367
0368
0369
0370
|
| id | umjimathkievua-article-7750 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:33:29Z |
| publishDate | 1953 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/cd/c62e4f5aae949827bc06bd76fad492cd.pdf |
| spelling | umjimathkievua-article-77502023-08-15T10:11:31Z О группах автоморфизмов некоторых классов разрешимых групп О группах автоморфизмов некоторых классов разрешимых групп Чарин, В. С. Чарин, В. С. В настоящей статье изучаются полные подгруппы автоморфизмов группы всех автоморфизмов некоторых классов абстрактных групп. В целях упрощения формулировок предложений условимся называть группой автоморфизмов заданной группы не обязательно группу всех ее автоморфизмов, а лишь подгруппу последней с тем или иным свойством. Institute of Mathematics, NAS of Ukraine 1953-11-09 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/7750 Ukrains’kyi Matematychnyi Zhurnal; Vol. 5 No. 4 (1953); 363-369 Український математичний журнал; Том 5 № 4 (1953); 363-369 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/7750/9438 Copyright (c) 1953 В. С. Чарин |
| spellingShingle | Чарин, В. С. Чарин, В. С. О группах автоморфизмов некоторых классов разрешимых групп |
| title | О группах автоморфизмов некоторых классов разрешимых групп |
| title_alt | О группах автоморфизмов некоторых классов разрешимых групп |
| title_full | О группах автоморфизмов некоторых классов разрешимых групп |
| title_fullStr | О группах автоморфизмов некоторых классов разрешимых групп |
| title_full_unstemmed | О группах автоморфизмов некоторых классов разрешимых групп |
| title_short | О группах автоморфизмов некоторых классов разрешимых групп |
| title_sort | о группах автоморфизмов некоторых классов разрешимых групп |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7750 |
| work_keys_str_mv | AT čarinvs ogruppahavtomorfizmovnekotoryhklassovrazrešimyhgrupp AT čarinvs ogruppahavtomorfizmovnekotoryhklassovrazrešimyhgrupp |