factorizing profinite groups into two abelian subgroups

نویسندگان

wolfgang herfort

university of technology

چکیده

we prove that the class of profinite groups $g$ that have a factorization $g=ab$‎ ‎with $a$ and $b$ abelian closed subgroups‎, ‎is closed under taking inverse limits‎ ‎of surjective inverse systems‎. ‎this is a generalization of a recent result by k. h. hofmann and f. g. russo‎. ‎as an application we reprove their generalization of iwasawa's structure theorem for‎ ‎quasihamiltonian pro-$p$ groups‎.

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عنوان ژورنال:
international journal of group theory

جلد ۲، شماره ۱، صفحات ۴۵-۴۷

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