Example : a GAP 4 package - References

[BKRW99]

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.

[Des56]

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]

Martin Hertweck.
A solution to the integral isomorphism problem.
Ann. of Math., 154:115 -- 138, 2001.

[PS72]

Inder Bir S. Passi and Sudarshan K. Sehgal.
Isomorphism of modular group algebras.
Math. Z., 129:65--73, 1972.

[RSc87]

Klaus Roggenkamp and Leonard Scott.
Isomorphisms of p-adic group rings.
Ann. of Math. (2), 126(3):593--647, 1987.

[RS93]

K. W. Roggenkamp and L. L. Scott.
Automorphisms and nonabelian cohomology: an algorithm.
Linear Algebra Appl., 192:355--382, 1993.

[San96]

Robert Sandling.
The modular group algebra problem for metacyclic p-groups.
Proc. Amer. Math. Soc., 124(5):1347--1350, 1996.

[SS96]

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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