Every finite perfect two-sided skew brace decomposes as a central product of an almost trivial skew brace and a trivial skew brace, both arising from perfect groups, with perfectness equivalent for the brace and either underlying group.
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On finite perfect two-sided skew braces
Every finite perfect two-sided skew brace decomposes as a central product of an almost trivial skew brace and a trivial skew brace, both arising from perfect groups, with perfectness equivalent for the brace and either underlying group.