| Title:
|
The Frattini subgroups of abelian groups (English) |
| Author:
|
Dlab, Vlastimil |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
10 |
| Issue:
|
1 |
| Year:
|
1960 |
| Pages:
|
1-16 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
20.00 |
| idZBL:
|
Zbl 0093.02801 |
| idMR:
|
MR0114858 |
| DOI:
|
10.21136/CMJ.1960.100391 |
| . |
| Date available:
|
2008-06-09T13:05:41Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100391 |
| . |
| Reference:
|
[1] G. Birkhoff: Lattice Theory.2nd ed. New York 1948. Zbl 0033.10103, MR 0029876 |
| Reference:
|
[2] V. Dlab: D-hodnost Abelovy grupy.Čas. pro pěst, mat., 82 (1957), 314-334. MR 0092785 |
| Reference:
|
[3] V. Dlab: Die Endomorphismenringe abelscher Gruppen und die Darstellung von Ringen durch Matrizenringe.Чех. мат. журнал, 7 (1957), 485 - 523. Zbl 0093.02902, MR 0094383 |
| Reference:
|
[4] V. Dlab: Заметка к теории полных абелевых групп.Чех. мат. журнал, 8 (1958), 54-61. Zbl 0082.02603, MR 0095201 |
| Reference:
|
[5] W. Gaschütz: Über die $\Phi$-Untergruppe endlicher Gruppen.Math. Zeitschrift 58 (1953), 160-170. MR 0057873, 10.1007/BF01174137 |
| Reference:
|
[6] I. Kaplansky: Infinite Abelian Groups.Ann Arbor 1954. Zbl 0057.01901, MR 0065561 |
| Reference:
|
[7] А. Г. Курош: Теория групп.2-е изд., Москва 1953. Zbl 1151.94459 |
| Reference:
|
[8] G. A. Miller: The $\phi$-subgroup of a group.Trans. Amer. Math. Soc. 16 (1915), 20-26. MR 1500995 |
| Reference:
|
[9] B. H. Neumann: Ascending Verbal and Frattini Series.Math. Zeitschrift 69 (1958), 164-172. Zbl 0080.01704, MR 0096735, 10.1007/BF01187397 |
| Reference:
|
[10] W. Specht: Gruppentheorie.Berlin-Göttingen-Heidelberg 1956. Zbl 0074.25603, MR 0080091 |
| . |
