Mutually normalizing regular permutation groups and Zappa–Szép extensions of the holomorph
نویسندگان
چکیده
For a group G, embedded in its of permutations B=Perm(G) via the left regular representation λ:G→B, normalizer λ(G) B is Hol(G), holomorph G. The set ℋ(G) those N≤Hol(G) such that N≅G and NormB(N)=Hol(G) keyed to structure so-called multiple NHol(G)=NormB(Hol(G)), conjugates by NHol(G). We wish generalize this considering certain
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2022
ISSN: ['0035-7596', '1945-3795']
DOI: https://doi.org/10.1216/rmj.2022.52.567