Connected transversals to subnormal subgroups

Tomáš Kepka; Jon D. Phillips

Commentationes Mathematicae Universitatis Carolinae (1997)

  • Volume: 38, Issue: 2, page 223-230
  • ISSN: 0010-2628

Abstract

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Subnormal subgroups possessing connected transversals are briefly discussed.

How to cite

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Kepka, Tomáš, and Phillips, Jon D.. "Connected transversals to subnormal subgroups." Commentationes Mathematicae Universitatis Carolinae 38.2 (1997): 223-230. <http://eudml.org/doc/248114>.

@article{Kepka1997,
abstract = {Subnormal subgroups possessing connected transversals are briefly discussed.},
author = {Kepka, Tomáš, Phillips, Jon D.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {subgroup; transversal; subnormal subgroups; normalizers; cores; series of subgroups; transversals},
language = {eng},
number = {2},
pages = {223-230},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Connected transversals to subnormal subgroups},
url = {http://eudml.org/doc/248114},
volume = {38},
year = {1997},
}

TY - JOUR
AU - Kepka, Tomáš
AU - Phillips, Jon D.
TI - Connected transversals to subnormal subgroups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 2
SP - 223
EP - 230
AB - Subnormal subgroups possessing connected transversals are briefly discussed.
LA - eng
KW - subgroup; transversal; subnormal subgroups; normalizers; cores; series of subgroups; transversals
UR - http://eudml.org/doc/248114
ER -

References

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  1. Kepka T., Niemenmaa M., On loops with cyclic inner mapping groups, Arch. Math. 60 (1993), 233-23. (1993) MR1201636
  2. Niemenmaa M., Transversals, commutators and solvability in finite groups, Bolletino U.M.I. 9-A (1995), 203-208. (1995) Zbl0837.20026MR1324621
  3. Niemenmaa M., Kepka T., On multiplication groups of loops, J. of Algebra 135 (1990), 112-122. (1990) Zbl0706.20046MR1076080
  4. Niemenmaa M., Kepka T., On connected transversals to abelian subgroups in finite groups, Bull. London Math. Soc. 24 (1992), 343-346. (1992) Zbl0793.20064MR1165376
  5. Niemenmaa M., Kepka T., On connected transversals to abelian subgroups, Bull. Austral. Math. Soc. 49 (1994), 121-128. (1994) Zbl0799.20020MR1262682
  6. Passman D., Permutation groups, Mathematics Lecture Notes Series, W.A. Benjamin, Inc., New York-Amsterdam, 1966. Zbl0177.03701MR0237627
  7. Robinson D.J.L., A course in the theory of groups, Graduate Text in Mathematics 80 (1982), Springer-Verlag, New York-Heidelberg-Berlin. Zbl0836.20001MR0648604
  8. Smith J.D.H., Multiplication groups of quasigroups, Preprint 603 (1981), Technische Hochschule, Darmstadt. 

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