Covering k -groups of n -groups

Jacek Michalski

Archivum Mathematicum (1981)

  • Volume: 017, Issue: 4, page 207-226
  • ISSN: 0044-8753

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Michalski, Jacek. "Covering $k$-groups of $n$-groups." Archivum Mathematicum 017.4 (1981): 207-226. <http://eudml.org/doc/18068>.

@article{Michalski1981,
author = {Michalski, Jacek},
journal = {Archivum Mathematicum},
keywords = {free covering groups; -groups; Post coset theorem},
language = {eng},
number = {4},
pages = {207-226},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Covering $k$-groups of $n$-groups},
url = {http://eudml.org/doc/18068},
volume = {017},
year = {1981},
}

TY - JOUR
AU - Michalski, Jacek
TI - Covering $k$-groups of $n$-groups
JO - Archivum Mathematicum
PY - 1981
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 017
IS - 4
SP - 207
EP - 226
LA - eng
KW - free covering groups; -groups; Post coset theorem
UR - http://eudml.org/doc/18068
ER -

References

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  1. W. Dörnte, Untersuchungen über einen verallgemeinerten Gruppenbegriff, Mathematische Zeitschrift 29 (1929), 1-19. (1929) MR1544989
  2. K. Глaзэк Б. Глeйxгeвиxт, 06 oднoм мemoдe nocmpoeнuя oбвepmывaющeй гpynnы, Acta Universitatis Wratislaviensis 188 (1973), 117-123. (1973) 
  3. B. Gleichgewicht K. Glazek, Remarks on n-groups as abstract algebras, Colloq. Math. 17 (1967), 209-219. (1967) MR0220651
  4. Л. M. Глycкин, Пoзuцuoнныe onepamuвы, Mam. Cбopнuк 68 (1965), 445-470. (1965) 
  5. J. Michalski, On some functors from the category of n-groups, Bull. Acad. Polon. Sci. Seг. sci. math. 27 (1979), 345-349. (1979) Zbl0424.18003MR0560176
  6. J. Michalski, The category of covering k-groups of n-groups, (to appear). Zbl0556.20051MR0672660
  7. J. Michalski, Inductive and projective limits of n-groups, Bull. Acad. Polon. Sci. Ser. sci. math. 27 (1979), 351-354. (1979) Zbl0424.18002MR0560177
  8. D. Monk F. M. Sioson, m-semigroups, semigroups and function representations, Fund. Math. 59 (1966), 233-241. (1966) MR0206133
  9. D. Monk F. M. Sioson, On the general theory of m-groups, Fund. Math. 72 (1971), 233-244. (1971) MR0294219
  10. E. Post, Polyadic groups, Trans. Amer. Math. Soc. 48 (1940), 208-350. (1940) Zbl0025.01201MR0002894
  11. F. M. Sioson, On free abelian m-groups, Proc. Japan Acad. 43 (1967), 876-888. (1967) Zbl0166.28101MR0227307

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