Example : a GAP 4 package - References
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Frauke M. Bleher, Wolfgang Kimmerle, Klaus W. Roggenkamp, and Martin Wursthorn.
Computational aspects of the isomorphism problem.
In Algorithmic algebra and number theory (Heidelberg, 1997),
pages 313--329. Springer, Berlin, 1999.
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W. E. Deskins.
Finite Abelian groups with isomorphic group algebras.
Duke Math. J., 23:35--40, 1956.
- [Eic07]
-
Bettina Eick.
Computing automorphism groups and testing isomorphisms for modular
group algebras.
J. Algebra, 320(11):3895--3910, 2008.
- [Her95]
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Martin Hertweck.
A solution to the integral isomorphism problem.
Ann. of Math., 154:115 -- 138, 2001.
- [PS72]
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Inder Bir S. Passi and Sudarshan K. Sehgal.
Isomorphism of modular group algebras.
Math. Z., 129:65--73, 1972.
- [RSc87]
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Klaus Roggenkamp and Leonard Scott.
Isomorphisms of p-adic group rings.
Ann. of Math. (2), 126(3):593--647, 1987.
- [RS93]
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K. W. Roggenkamp and L. L. Scott.
Automorphisms and nonabelian cohomology: an algorithm.
Linear Algebra Appl., 192:355--382, 1993.
- [San96]
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Robert Sandling.
The modular group algebra problem for metacyclic p-groups.
Proc. Amer. Math. Soc., 124(5):1347--1350, 1996.
- [SS96]
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Mohamed A. M. Salim and Robert Sandling.
The modular group algebra problem for groups of order psp5.
J. Austral. Math. Soc. Ser. A, 61(2):229--237, 1996.
- [Wur93]
-
Martin Wursthorn.
Isomorphisms of modular group algebras: an algorithm and its
application to groups of order 2sp6.
J. Symbolic Comput., 15(2):211--227, 1993.
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Example manual
April 2009