52
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Polynomial Functions and Endomorphism Near-Rings on Certain Linear Groups

&
Pages 5627-5651 | Received 01 Jun 2002, Published online: 31 Aug 2006

References

  • Adkins , W. A. and Weintraub , S. H. 1992 . Algebra. An Approach via Module Theory New York : Springer-Verlag .
  • Ecker , J. 1998 . “ On the number of polynomial functions on nilpotent groups of class 2 ” . In Contributions to General Algebra Vol. 10 , Klagenfurt : Verlag Johannes Heyn .
  • Fong , Y. and Kaarli , K. 1995 . Unary polynomials on a class of groups . Acta Sci. Math. (Szeged) , 61 ( 1–4 ) : 139 – 154 .
  • Huppert , B. 1967 . Endliche Gruppen. I Berlin : Springer-Verlag .
  • Kowol , G. 1991 . Polynomautomorphismen von Gruppen . Arch. Math. (Basel) , 57 ( 2 ) : 114 – 121 .
  • Kowol , G. 1997 . Near-rings of endomorphisms of finite groups . Comm. Algebra , 25 ( 7 ) : 2333 – 2342 .
  • Lausch , H. and Nöbauer , W. 1973 . Algebra of Polynomials Amsterdam, London: North-Holland, New York : American Elsevier Publishing Company .
  • McKenzie , R. N. , McNulty , G. F. and Taylor , W. F. 1987 . Algebras, Lattices, Varieties Vol. I , Monterey, California : Wadsworth & Brooks/Cole Advanced Books & Software .
  • Meldrum , J. D. P. 1985 . Near-Rings and their Links with Groups Boston, MA : Pitman (Advanced Publishing Program) .
  • Pilz , G. F. 1983 . Near-Rings , 2 Amsterdam, New York, Oxford : North-olland Publishing Company .
  • Robinson , D. J. S. 1996 . A Course in the Theory of Groups , 2nd ed. Graduate Texts in Mathematics Vol. 80 , New York : Springer-Verlag .
  • Saad , G. and Thomsen , M. J. 1999 . Endomorphism nearrings: foundations, problems and recent results . Discrete Math. , 208/209 : 507 – 527 . Combinatorics (Assisi, 1996)
  • Saad , G. , Thomsen , M. J. and Syskin , S. A. 1995 . “ Endomorphism nearrings on finite groups. A report ” . In Near-Rings and Near-Fields 227 – 238 . Dordrecht : Kluwer Acad. Publ. . (Fredericton, NB, 1993)
  • Scott , S. D. 1969 . The arithmetic of polynomial maps over a group and the structure of certain permutational polynomial groups . I, Monatsh. Math. , 73 : 250 – 267 .
  • Scott , W. R. 1987 . Group Theory , 2 New York : Dover Publications Inc. .

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.