André, Carlos Alberto MartinsFreitas, Pedro Jorge SantosSilva, Tânia Sofia Zaragoza Cotrim2024-05-242024-05-242023-122023-07http://hdl.handle.net/10451/64830Using the correspondence between central Schur rings and supercharacter theories for finite groups, we simplify the construction of the standard supercharacter theory for adjoint groups of finite radical rings. If the radical ring R is of odd characteristic and is endowed with an anti-involution σ, we define a supercharacter theory for the subgroup of the adjoint group R◦ , R◦ σ , consisting of elements fixed by σ. This theory extends the one previously defined in [9], when R is a nilpotent algebra over a finite field.engAnéis de SchurTeoria de SupercaracteresGrupo AdjuntoSchur ringsSupercharacter TheoryAdjoint Groupdoctoral thesis101517505