Geodesic
Généralisation d'un Lemme de Kummer*
Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 486-489

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If A is a finite abelian group and ZA its integral group ring, consider units u ∊ ZA which have coefficient sum = 1 and are fixed under the involution a —> a-1, a ∊ A. For an odd regular prime p and a p-group A, it is shown that u ≡ 1 mod p if only if u = π(v)v-p , where v is the same kind of unit, and π is the ring endomorphism given by a —> ap , a∊A.
DOI : 10.4153/CMB-1989-071-7
Mots-clés : 20C05, 16A25, 16A18 
Hoechsmann, Klaus. Généralisation d'un Lemme de Kummer*. Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 486-489. doi: 10.4153/CMB-1989-071-7
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     author = {Hoechsmann, Klaus},
     title = {G\'en\'eralisation d'un {Lemme} de {Kummer*}},
     journal = {Canadian mathematical bulletin},
     pages = {486--489},
     year = {1989},
     volume = {32},
     number = {4},
     doi = {10.4153/CMB-1989-071-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-071-7/}
}
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