Cycles and bipartite graph on conjugacy class of groups

Bijan Taeri

Rendiconti del Seminario Matematico della Università di Padova (2010)

  • Volume: 123, page 233-248
  • ISSN: 0041-8994

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Taeri, Bijan. "Cycles and bipartite graph on conjugacy class of groups." Rendiconti del Seminario Matematico della Università di Padova 123 (2010): 233-248. <http://eudml.org/doc/241223>.

@article{Taeri2010,
author = {Taeri, Bijan},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {bipartite divisor graph; conjugacy class; cycles},
language = {eng},
pages = {233-248},
publisher = {Seminario Matematico of the University of Padua},
title = {Cycles and bipartite graph on conjugacy class of groups},
url = {http://eudml.org/doc/241223},
volume = {123},
year = {2010},
}

TY - JOUR
AU - Taeri, Bijan
TI - Cycles and bipartite graph on conjugacy class of groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2010
PB - Seminario Matematico of the University of Padua
VL - 123
SP - 233
EP - 248
LA - eng
KW - bipartite divisor graph; conjugacy class; cycles
UR - http://eudml.org/doc/241223
ER -

References

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  2. [2] E. A. Bertram - M. Herzog - A. Mann, On a graph related to conjugacy classes of groups, Bull. London Math. Soc., 22 (1990), pp. 569--575. Zbl0743.20017MR1099007
  3. [3] D. Bubboloni - S. Dolfi - M. A. Iranmanesh - C. E. Praeger, On bipartite divisor graphs for group conjugacy class sizes, J. Pure Appl. Algebra, 213 (2009), pp. 1722--1734. Zbl1176.20027MR2518171
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  7. [7] D. Chillag - M. Herzog - A. Mann, On the diameter of a graph related to conjugacy classes of groups, Bull. London Math. Soc., 113, No. 2 (1993), pp. 255--262. Zbl0810.20018MR1209249
  8. [8] J. H. Conway - R. T. Curtis - S. P. Norton - R. A. Wilson, ATLAS of Finite Groups, Oxford Univ. Press (Oxford, 1985). Zbl0568.20001MR827219
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  10. [10] B. Huppert, Endliche Gruppen I, Springer-Verlag (Berlin, 1967). Zbl0412.20002MR224703
  11. [11] M. A. Iranmanesh - C. E. Praeger, Bipartite divisor graphs for integer subsets (submitted for publication). Zbl1230.05235
  12. [12] N. Itô, On finite groups with given conjugate types II, Osaka J. Math., 7 (1970), pp. 231--251. Zbl0198.04305MR263910
  13. [13] N. Itô, On Finite Groups with Given Conjugate Types. III, Math. Z., 117 (1970), pp. 267--271 Zbl0209.05501MR289625
  14. [14] L. S. Kazarin, On groups with isolated conjugacy classes, Izv. Vyssh. Uchebn Zaved. Mat., 25 (1981), pp. 40--45. Zbl0516.20011MR636915
  15. [15] M. L. Lewis, Solvable groups having almost relatively prime distinct irreducible character degrees, J. Algebra, 174 (1995), pp. 197--216. Zbl0833.20011MR1332867
  16. [16] M. Fang - P. Zhang, Finite groups with graphs containing no triangles, J. Algebra, 264 (2003), pp. 613--619. Zbl1024.20021MR1981424
  17. [17] J. Rebmann, F -Gruppen, Arch. Math., Vol. XXII (1971), pp. 225--230. Zbl0221.20032MR291275
  18. [18] M. Suzuki, Group Theory I, Springer-Verlag (New York, 1986). Zbl0472.20001MR815926

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