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On unit P-Groups in Group Algebra | ||
| Journal of University of Anbar for Pure Science | ||
| Article 39, Volume 3, Issue 1, 2009, Pages 135-139 PDF (78.49 K) | ||
| DOI: 10.37652/juaps.2009.15512 | ||
| Author | ||
| ALAA .A. AWAD | ||
| Abstract | ||
| Abstract:The aim of this paper we have define the group of units U(F(G)), where F(G) is the group algebra with G is finite group over a field F. Now if char F=0 and G nonabelian or F is a nonabsolute field of characterstic > 0 and G/ O (G) is nonabelian, then it is well known that the group of unit U(K[G]) contains a nonabelain P-group.There for we will prove that there are two cyclic subgroups X and Y of G of prime power order and units uX U(K[X]) and uY U(K[X]) such that (uX,uY) contain nonabelian P-subgroups in linear group | ||
| Keywords | ||
| units U; groups; Algebra | ||
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