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Sep 3, 2013 at 5:06 comment added Marc Palm That's the notation for centralizer of N in G.
Jul 4, 2013 at 20:16 history edited Giuliano Bianco CC BY-SA 3.0
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Jul 4, 2013 at 19:31 comment added Yassine Guerboussa I suggest $Z_G(N)$, $N$ normal in $G$, and I would call it the center of $G$ modulo $N$. The precenter of $f$ is the center of $G$ modulo $ker(f)$, for brevity $Z_G(f)$ (or $Z(f)$). (Is it useful to see Group Theory from a categorical aspect?). Sincerely.
Jul 4, 2013 at 18:12 comment added Giuliano Bianco @YassineGuerboussa Make your proposal then! The sense of mine was to be somewhat categorical, the morphisms and not the objects are the heroes...
Jul 4, 2013 at 18:07 comment added Yassine Guerboussa To my mind, it is better to find a notation that does not refer to any homomorphism, only to the subgroup and the whole group.
Jul 4, 2013 at 17:49 history answered Giuliano Bianco CC BY-SA 3.0