
Let G be a nonabelian group of order p 3 {p^3} and exponent p, where p is an odd prime. Let K be a field of characteristic p. In this paper it is proved that there exist periodic KG-modules whose periods are 2p. Some examples of such modules are constructed.
periodic modules, minimal projective resolutions, Finite nilpotent groups, \(p\)-groups, Modular representations and characters, finite p-group, projective Kg-module, Group rings of finite groups and their modules (group-theoretic aspects), modular representations
periodic modules, minimal projective resolutions, Finite nilpotent groups, \(p\)-groups, Modular representations and characters, finite p-group, projective Kg-module, Group rings of finite groups and their modules (group-theoretic aspects), modular representations
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