GROUP RINGS WITH STRONGLY 2-GENERATED AUGMENTATION IDEALS

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Published: Mar 1, 1993
DOI: https://doi.org/10.5556/j.tkjm.24.1993.4474
Keywords:
right ideal modular group algebras polycyclic group strongly 2-generated augmentation ideal

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REFAAT M. SALEM
Department of Mathematics, Faculty of Science, AL-Azhar University, Cairo, Egypt.

Abstract




Suppose that G is a finite supersolvable (infinite solvable) group, K is a field of char p>0. Then the Augmentation ideal w(K[G]) is right strongly 2-generated iff G is a p′-group-by-cyclic P-group (finite p′-group-by-infinite cyclic).




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How to Cite
SALEM, R. M. (1993). GROUP RINGS WITH STRONGLY 2-GENERATED AUGMENTATION IDEALS. Tamkang Journal of Mathematics, 24(1), 51–55. https://doi.org/10.5556/j.tkjm.24.1993.4474
Issue
Vol. 24 No. 1 (1993)
Section
Papers
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References

D. R. Farkas and R. L. Snider, "When is the Augmentation ideal principal?" Arch. Math. 33 (1979), 348-350.

B. Huppert, "Endliche Gruppen I", Springer- Verlag, No. 134, Berlin, 1967.

D. S. Passman, "Observation on group rings", Comm. Alg., 5 (11) (1977), 1119-1162.