Summary.
This paper continues the study of pointed redundancy of the conditional Cauchy equation of the cylindrical type. In classifying those groups G that contain a subgroup S such that (S,G,G) is pointedly redundant, this paper also slightly improves upon the classification of those groups G that contain a subgroup S such that (S,G,G) is redundant. From an algebraic perspective, this paper gives three classes of groups G that contain a subgroup S such that every automorphism of S can be extended to |S| different automorphisms of G.
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Manuscript received: February 10, 2004 and, in final form, June 12, 2006.
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Devillier, C.G. Pointed redundancy. Aequ. math. 73, 10–17 (2007). https://doi.org/10.1007/s00010-006-2851-9
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DOI: https://doi.org/10.1007/s00010-006-2851-9