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TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS

Year 2017, Volume: 5 Issue: 2, 114 - 118, 15.10.2017

Abstract

We give two constructive examples of groups that are special unions of abelian $p$-groups. This sheds some light on certain problematic aspects in the present subject.

References

  • [1] B. Balof and P. Keef, Invariants on primary abelian groups and a problem of Nunke, Note Mat. 29 (2009), 83-114.
  • [2] P. V. Danchev, A nice basis for $S(FG)/G_p$, Atti Sem. Mat. Fis. Univ. Modena e Reggio Emilia 53 (2005), 3-11.
  • [3] P. V. Danchev, Nice bases for primary abelian groups, Ann. Univ. Ferrara (Sci. Mat.) 53 (2007), 39-50.
  • [4] P. V. Danchev, Abelian groups with a nice basis, C. R. Acad. Bulg. Sci. 60 (2007), 219-224.
  • [5] P. V. Danchev, Generalized Dieudonne and Hill criteria, Portugal. Math. 65 (2008), 121-142.
  • [6] P. V. Danchev, Nice bases for mixed and torsion-free abelian groups, Bull. Malays. Math. Sci. Soc. 33 (2010), 393-403.
  • [7] P. V. Danchev and P. W. Keef, Nice bases and thickness in primary abelian groups, Rocky Mount. J. Math. 41 (2011), 1127-1143.
  • [8] L. Fuchs, Abelian Groups, Springer, Switzerland (2015).
  • [9] P. Hill, Primary groups whose subgroups of smaller cardinality are direct sums of cyclic groups, Pac. J. Math. 42 (1972), 63-67.
  • [10] P. Hill, Almost coproducts of nite cyclic groups, Comment. Math. Univ. Carol. 36 (1995), 795-804.
  • [11] P. Hill and W. Ullery, Almost totally projective groups, Czechoslovak Math. J. 46 (1996),249-258.
Year 2017, Volume: 5 Issue: 2, 114 - 118, 15.10.2017

Abstract

References

  • [1] B. Balof and P. Keef, Invariants on primary abelian groups and a problem of Nunke, Note Mat. 29 (2009), 83-114.
  • [2] P. V. Danchev, A nice basis for $S(FG)/G_p$, Atti Sem. Mat. Fis. Univ. Modena e Reggio Emilia 53 (2005), 3-11.
  • [3] P. V. Danchev, Nice bases for primary abelian groups, Ann. Univ. Ferrara (Sci. Mat.) 53 (2007), 39-50.
  • [4] P. V. Danchev, Abelian groups with a nice basis, C. R. Acad. Bulg. Sci. 60 (2007), 219-224.
  • [5] P. V. Danchev, Generalized Dieudonne and Hill criteria, Portugal. Math. 65 (2008), 121-142.
  • [6] P. V. Danchev, Nice bases for mixed and torsion-free abelian groups, Bull. Malays. Math. Sci. Soc. 33 (2010), 393-403.
  • [7] P. V. Danchev and P. W. Keef, Nice bases and thickness in primary abelian groups, Rocky Mount. J. Math. 41 (2011), 1127-1143.
  • [8] L. Fuchs, Abelian Groups, Springer, Switzerland (2015).
  • [9] P. Hill, Primary groups whose subgroups of smaller cardinality are direct sums of cyclic groups, Pac. J. Math. 42 (1972), 63-67.
  • [10] P. Hill, Almost coproducts of nite cyclic groups, Comment. Math. Univ. Carol. 36 (1995), 795-804.
  • [11] P. Hill and W. Ullery, Almost totally projective groups, Czechoslovak Math. J. 46 (1996),249-258.
There are 11 citations in total.

Details

Subjects Engineering
Journal Section Articles
Authors

PETER Danchev

Publication Date October 15, 2017
Submission Date October 15, 2017
Acceptance Date May 31, 2017
Published in Issue Year 2017 Volume: 5 Issue: 2

Cite

APA Danchev, P. (2017). TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS. Konuralp Journal of Mathematics, 5(2), 114-118.
AMA Danchev P. TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS. Konuralp J. Math. October 2017;5(2):114-118.
Chicago Danchev, PETER. “TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS”. Konuralp Journal of Mathematics 5, no. 2 (October 2017): 114-18.
EndNote Danchev P (October 1, 2017) TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS. Konuralp Journal of Mathematics 5 2 114–118.
IEEE P. Danchev, “TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS”, Konuralp J. Math., vol. 5, no. 2, pp. 114–118, 2017.
ISNAD Danchev, PETER. “TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS”. Konuralp Journal of Mathematics 5/2 (October 2017), 114-118.
JAMA Danchev P. TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS. Konuralp J. Math. 2017;5:114–118.
MLA Danchev, PETER. “TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS”. Konuralp Journal of Mathematics, vol. 5, no. 2, 2017, pp. 114-8.
Vancouver Danchev P. TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS. Konuralp J. Math. 2017;5(2):114-8.
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