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Finite unitary ring with minimal non-nilpotent group of units

By Mohsen Amiri and Mostafa Amini
Let RR be a finite unitary ring such that R=R0[R]R=R_0[R^*] where R0R_0 is the prime ring and RR^* is not a nilpotent group. We show that if all proper subgroups of RR^* are nilpotent groups, then the cardinal of RR is a power of prime number 2. In addition, if... Show more
January 14, 2020
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Finite unitary ring with minimal non-nilpotent group of units
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