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- W606978812 abstract "Suppose $G$ is a multiplicatively written abelian $p$-group, where $p$ is a prime, and $F$ is a field of arbitrary characteristic. The main results in this paper are that none of the Sylow $p$-group of all normalized units $S(FG)$ in the group ring $FG$ and its quotient group $S(FG)/G$ cannot be Prufer groups. This contrasts a classical conjecture for which $S(FG)/G$ is a direct factor of a direct sum of generalized Prufer groups whenever $F$ is a perfect field of characteristic $p$." @default.
- W606978812 created "2016-06-24" @default.
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- W606978812 date "2010-03-31" @default.
- W606978812 modified "2023-09-26" @default.
- W606978812 title "Commutative group algebras and Prufer groups" @default.
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- W606978812 doi "https://doi.org/10.5556/j.tkjm.41.2010.640" @default.
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