Geodesic
On Automorphisms of Complete Algebras And The Isomorphism Problem for Modular Group Rings
Canadian journal of mathematics, Tome 42 (1990) no. 3, pp. 383-394

Voir la notice de l'article provenant de la source Cambridge University Press

In [5], Roggenkamp and Scott gave an affirmative answer to the isomorphism problem for integral group rings of finite p-groups G and H, i.e. to the question whether Z G ⥲ Z H implies G ⥲ H (in this case, G is said to be characterized by its integral group ring). Progress on the analogous question with Z replaced by the field F p of p elements has been very little during the last couple of years; and the most far reaching result in this area in a certain sense - due to Passi and Sehgal, see [8] - may be compared to the integral case, where the group G is of nilpotency class 2.
DOI : 10.4153/CJM-1990-021-9
Mots-clés : 16A27, 20C07 
Röhl, Frank. On Automorphisms of Complete Algebras And The Isomorphism Problem for Modular Group Rings. Canadian journal of mathematics, Tome 42 (1990) no. 3, pp. 383-394. doi: 10.4153/CJM-1990-021-9
@article{10_4153_CJM_1990_021_9,
     author = {R\"ohl, Frank},
     title = {On {Automorphisms} of {Complete} {Algebras} {And} {The} {Isomorphism} {Problem} for {Modular} {Group} {Rings}},
     journal = {Canadian journal of mathematics},
     pages = {383--394},
     year = {1990},
     volume = {42},
     number = {3},
     doi = {10.4153/CJM-1990-021-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1990-021-9/}
}
TY  - JOUR
AU  - Röhl, Frank
TI  - On Automorphisms of Complete Algebras And The Isomorphism Problem for Modular Group Rings
JO  - Canadian journal of mathematics
PY  - 1990
SP  - 383
EP  - 394
VL  - 42
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1990-021-9/
DO  - 10.4153/CJM-1990-021-9
ID  - 10_4153_CJM_1990_021_9
ER  - 
%0 Journal Article
%A Röhl, Frank
%T On Automorphisms of Complete Algebras And The Isomorphism Problem for Modular Group Rings
%J Canadian journal of mathematics
%D 1990
%P 383-394
%V 42
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1990-021-9/
%R 10.4153/CJM-1990-021-9
%F 10_4153_CJM_1990_021_9

[1] 1. Huppert, B. and Blackburn, N., Finite groups I I, Springer 1982 Google Scholar

[2] 2. NĂstĂsescu, C. and Oystayen, F. van, Graded ring theory, North-Holland 1982 Google Scholar

[3] 3. Neumann, H., Varieties of groups, Springer 1967 Google Scholar

[4] 4. Passi, I.B.S., Group rings and their augmentation ideals, Springer LNM 715, 1979 Google Scholar

[5] 5. Roggenkamp, K.W. and Scott, L., Isomorphisms of p-adic group rings, Ann. Math. 126 (1987), 593–64. Google Scholar

[6] 6. Röhl, F., On the isomorphism problem for group rings and completed augmentation ideals, Rocky Mountain J. Math. 17, No 4 (1987), 853–86. Google Scholar

[7] 7. Sandling, R., The isomorphism problem for group rings: a survey in Orders and their applications, Springer LNM 1142, 1985 Google Scholar

[8] 8. Sehgal, S.K., Topics in group rings, Marcel Dekker 1978 Google Scholar

Cité par Sources :