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Original Articles

Auslander's theorem on discontinuous semigroups and crystallographic semigroups

Pages 1435-1444 | Received 01 Apr 1995, Published online: 20 Oct 2011

References

  • Abels , H. and Dress , A. W. M. 1986 . Invariant subspaces of affine groups, An algebraic version of a theorem of Bieberbach . J. Algebra , 99 : 496 – 517 .
  • Auslander , L. 1960 . Bieberbach's theorems on crystallographic groups . Ann. Math , 71 : 579 – 590 .
  • Buser , D. 1985 . A geometric proof of Bieberbach's theorem on crystallographic groups . Enseign Math , 31 : 137 – 145 .
  • Margulis , G. A. and Soifer , G. A. 1981 . Maximal subgroups of finite index in finitely generated linear groups . J. Algebra , 69 : 1 – 23 .
  • Raghunathan , M. S. 1972 . “ Discrete Subgroups of Lie Groups ” . New York , Berlin : Springer‐Verlag .
  • Soifer , G. 1992 . Free sub semigroups of the affinie group and the Schoenflies‐Bieberbach theorem . Adv in Soviet Math , 9 : 197 – 204 .
  • Vinberg , E. 1975 . On the Schoenflies‐Bieberbach theorem . Dokl, Akad. Nauk SSSR , 221 : 1013 – 1015 .

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