Application of polarity to the direct product decompositions of a group

František Šik

Czechoslovak Mathematical Journal (1955)

  • Volume: 05, Issue: 1, page 61-75
  • ISSN: 0011-4642

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Šik, František. "Die Anwendung der Polarität auf die direkten Produktzerlegungen einer Gruppe." Czechoslovak Mathematical Journal 05.1 (1955): 61-75. <http://eudml.org/doc/11777>.

@article{Šik1955,
author = {Šik, František},
journal = {Czechoslovak Mathematical Journal},
keywords = {direct product decomposition; group with minimal condition for normal subgroups; Boolean algebra of components},
language = {ger},
number = {1},
pages = {61-75},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Die Anwendung der Polarität auf die direkten Produktzerlegungen einer Gruppe},
url = {http://eudml.org/doc/11777},
volume = {05},
year = {1955},
}

TY - JOUR
AU - Šik, František
TI - Die Anwendung der Polarität auf die direkten Produktzerlegungen einer Gruppe
JO - Czechoslovak Mathematical Journal
PY - 1955
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 05
IS - 1
SP - 61
EP - 75
LA - ger
KW - direct product decomposition; group with minimal condition for normal subgroups; Boolean algebra of components
UR - http://eudml.org/doc/11777
ER -

References

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  1. G. Birkhoff, Lattice Theory, rev. ed., New York, 1948. (1948) Zbl0033.10103MR0029876
  2. H. Fitting, 10.1007/BF01448909, Math. Ann., 107 (1933), 514-542. (1933) MR1512816DOI10.1007/BF01448909
  3. H. Fitting, 10.1007/BF01201342, Math. Zeitschrift, 39 (1935), 16-30. (1935) MR1545486DOI10.1007/BF01201342
  4. Л. В. Канторович Б. 3. Вулих, А. Г. Пинскер, Функциональный анализ в полуупорядоченных пространствах, ГТТИ (1950). (1950) Zbl1202.91122
  5. Л. В. Канторович Б. 3. Вулих, А. Г. Пинскер, Полуупорядоченные группы и линейные полуупорядоченные пространсва, Успехи мат. наук, VI (1951), 31-98. (1951) Zbl1200.93002
  6. V. Kořínek, Sur la décomposition d'un groupe en produit direct des sousgroupes, Časopis pro pěst. mat. a fysiky, 66 (1937), 261-286, 67 (1938), 209-210. (1937) Zbl0016.35003
  7. A. Kurosch, 10.1007/BF01455880, Math. Ann., 106 (1932), 107-113. (1932) Zbl0003.24302MR1512752DOI10.1007/BF01455880
  8. A. Г. Курош, Теория групп, изд. второе, переработ., Москва (1953). (1953) Zbl1151.94459
  9. Н. Zassenhaus, Lehrbuch der Gruppentheorie I, Hamburger math. Einzelschriften, vol. 21 (1937). (1937) 

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