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A FINITENESS CONDITION ON THE COEFFICIENTS OF THE PROBABILISTIC ZETA FUNCTION
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نویسنده
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لوکینی آندریا ,سرگین دونگ هوانگ
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منبع
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international journal of group theory - 2013 - دوره : 2 - شماره : 1 - صفحه:167 -174
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چکیده
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We discuss whether finiteness properties of a profinite group g can be deduced from thecoeffcients of the probabilistic zeta function pg(s). in particular we prove that if pg(s) is rational andall but finitely many non abelian composition factors of g are isomorphic to psl(2; p) for some primep, then g contains only finitely many maximal subgroups.
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کلیدواژه
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Probabilistic zeta function ,special linear groups
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آدرس
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Universita degli studi di Padova, Dipartimento di Matematica, Universita degli studi di Padova, Via Trieste 63, 35121 Padova, Italy, Italy, Leiden Universiteit, Mathematisch Instituut, Leiden Universiteit, Niels Bohrweg 1, 2333 CA Leiden, The Netherlands, Italy
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پست الکترونیکی
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dhdung1309@gmail.com
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Authors
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