On an isomorphism problem for endomorphism near-rings

Peterson, Gary

doi:10.1090/S0002-9939-98-04302-0

On an Isomorphism Problem
for Endomorphism Near-Rings

Author: Gary L. Peterson
Journal: Proc. Amer. Math. Soc. 126 (1998), 1897-1900
MSC (1991): Primary 16Y30; Secondary 20E36
DOI: https://doi.org/10.1090/S0002-9939-98-04302-0
MathSciNet review: 1443403
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Abstract: Suppose $R$ and $S$ are endomorphism near-rings generated by
groups of automorphisms containing the inner automorphisms of two respective finite perfect groups $G$ and $H$ . In this note we show that if $R$ and $S$ are isomorphic, then $G/Z(G)$ and $H/Z(H)$ are isomorphic.

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