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Original Articles

On the Existence of 3-Generator, 3-Relation Finite 2-Groups with a Given (Co)Class

Pages 444-451 | Received 15 Jul 2010, Published online: 14 Feb 2012

REFERENCES

  • Eick , B. ( 2008 ). Schur multiplier of finite p-groups with fixed coclass . Israel Journal of Mathematics 166 : 157 – 166 .
  • Fouladi , S. , Jamali , A. R. , Orfi , R. (2009). Some 3-generator, 3-relation finite 2-groups. Comm. Algebra 37:40–46.
  • Gaschütz , W. , Newman , M. F. ( 1970 ). On presentation of finite p-groups . J. Reine Angew. Math. 245 : 172 – 176 .
  • Havas , G. , Newman , M. F. , O'Brien , E. A. ( 1994 ). Groups of deficiency zero. In: Geometric and Computational Prespectives on Infinite Groups. Minneapolis, and New Brunswick, NJ. Dimacs Ser. Discrete Math. Theoret. Comput. Sci. 25 Providence, RI: AMS, pp. 53–67 .
  • Jamali , A. ( 2001 ). A further class of 3-generator, 3-relation finite groups . Comm. Algebra 29 ( 2 ): 879 – 887 .
  • Johnson , D. L. ( 1990 ). Presentations of Groups . London Math. Soc. Stud. Texto . Vol. 15 . Cambridge : Cambridge Univ. Press .
  • Neubüser , J. ( 1981/1982 ). An elementary introduction to coset table methods in computational group theory. In: Groups St. Andrews. Vol. 71. London Math. Soc. Lecture Notes. Cambridge Univ. Press, pp. 137–154.
  • The GAP Group, GAP – Groups, Algorithms, and Programming, Version 4.4.10; 2007. http://www.gap-system.org
  • Wamsley , J. W. ( 1973 ). Minimal presentations for finite groups . Bull. London Math. Soc. 5 : 129 – 144 .
  • Communicated by A. Turull.

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