Higher Stickelberger ideals and even 𝐾-groups

El Boukhari, Saad

doi:10.1090/proc/15837

Higher Stickelberger ideals and even $K$-groups
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Proc. Amer. Math. Soc. 150 (2022), 3231-3239 Request permission

Abstract:

We use the analogy between class groups and even $K$-groups of the ring of integers of a number field and “Higher Stickelberger” ideals within $K$-theory to prove an index formula for these ideals in a finite abelian extension of real number fields, which is similar to the classic Stickelberger ideal index formula proved by Iwasawa.

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