A construction of a partial difference set in the extraspecial groups of order p3 with exponent p2

被引:0
作者
Swartz, Eric [1 ]
机构
[1] Univ Western Australia, Ctr Math Symmetry & Computat, Sch Math & Stat, Crawley, WA 6009, Australia
关键词
Partial difference set; Cayley graph; Strongly regular graph; GRAPHS;
D O I
10.1007/s10623-013-9903-7
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
A partial difference set in a finite group such that and corresponds to an undirected strongly regular Cayley graph Very few examples of PDSs are known, and there are especially few known in nonabelian groups. In this paper, a partial difference set with and is constructed for each extraspecial group of order and exponent , where is an odd prime.
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收藏
页码:237 / 242
页数:6
相关论文
共 9 条
  • [1] Point regular groups of automorphisms of generalised quadrangles
    Bamberg, John
    Giudici, Michael
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2011, 118 (03) : 1114 - 1128
  • [2] Behm G., 2010, THESIS ROYAL I TECHN
  • [3] Godsil C., 2001, Algebraic graph theory
  • [4] Golemac A, 2006, ELECTRON J COMB, V13
  • [5] Gorenstein D., 2012, FINITE GROUPS, V2nd
  • [6] Heydemann MC, 1997, NATO ADV SCI I C-MAT, V497, P167
  • [7] Liebler R., 1993, J COMBIN MATH COMBIN, V13, P143
  • [8] Lubotzky A., 1995, Surveys in Combinatorics, V218, P155
  • [9] Ma S. L., 1994, Designs, Codes and Cryptography, V4, P221, DOI 10.1007/BF01388454