256
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Finite Two-Generator p-Groups with Cyclic Derived Group

Pages 1499-1513 | Received 29 Jul 2011, Published online: 02 Apr 2013

REFERENCES

  • Bosma , W. , Cannon , J. , Playoust , C. ( 1997 ). The MAGMA algebra system I: The user language . J. Symbolic Comput. 24 : 235 – 265 .
  • Hall , P. ( 1934 ). A contribution to the theory of groups of prime-power order . Proc. London Math. Soc. 36 : 29 – 95 .
  • Ji , Y. , Du , S. , Zhang , L. ( 2001 ). A classification of regular p-groups with invariants (e, 2, 1) . Southeast Asian Bull. Math. 25 : 245 – 256 .
  • Miech , R. J. ( 1975 ). On p-groups with a cyclic commutator subgroup . J. Aust. Math. Soc. 20 : 178 – 198 .
  • Newman , M. F. , Xu , M. ( 1988 ). Metacyclic groups of prime-power order (Reserch annoucement) . Adv. in Math. (Beijing) 17 : 106 – 107 .
  • Newman , M. F. , Xu , M. ( 1987 ). Metacyclic groups of prime-power order. Preprint .
  • O'Brien , E. A. ( 1990 ). The p-group generation algorithm . J. Symbolic Comput. 9 : 677 – 698 .
  • Xu , M. ( 1991 ). P. Hall's basis theorem for regular p-groups and its application to some classification problems . Comm. Algebra 19 : 1271 – 1280 .
  • Xu , M. ( 1987 ). The power structure of finite p-groups . Bull. Austral. Math. Soc. 36 : 1 – 10 .
  • Xu , M. ( 1984 ). A theorem about p-group and some consequences . Chin. Ann. Math 5B : 1 – 6 .
  • Xu , M. ( 1983 ). A complete classification of metacyclic p-groups of odd order (Chinese) . Adv. in Math. (Beijing) 12 : 72 – 73 .
  • Xu , M. , Qu , H. ( 2010 ). Finite p-Group . Beijing : Peking University Press .
  • Xu , M. , Zhang , Q. ( 2006 ). Classification of metacyclic 2-groups . Algebra Colloq. 13 ( 1 ): 25 – 34 .
  • Zhang , Q. , Song , Q. , Xu , M. ( 2006 ). A classification of some regular p-groups and its application . Science in China (Ser. A) 49 : 366 – 386 .
  • Communicated by A. Turull.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.