The modular isomorphism problem for the groups of order 512

B Eick, A Konovalov - Groups St Andrews 2009 in Bath. Vol, 2011 - books.google.com
For a prime p, let G be a finite p-group and K a field of characteristic p. The Modular
Isomorphism Problem (MIP) asks whether the modular group algebra KG determines the …

[PDF][PDF] On unitary subgroups of group algebras

ZA Balogh - International Electronic Journal of Algebra, 2021 - dergipark.org.tr
Let FG be the group algebra of a finite p-group G over afinite field F of characteristic p and let
* be theclassical involution of FG. The *-unitary subgroup of FG, denoted by V_*(FG), is …

Parallel computations in modular group algebras

O Konovalov, S Linton - Proceedings of the 4th International Workshop …, 2010 - dl.acm.org
We report about the parallelisation of the algorithm to compute the normalised unit group V
(F p G) of a modular group algebra F p G of a finite p-group G over the field of p elements F p …