A finiteness condition on the coefficients of the probabilistic Zeta function

Duong Hoang Dung; Andrea Lucchini

A finiteness condition on the coefficients of the probabilistic Zeta function

Duong Hoang Dung
, Andrea Lucchini

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

抄録

We discuss whether finiteness properties of a profinite group G can be deduced from the coeffcients of the probabilistic zeta function P_G(s). In particular we prove that if P_G(s) is rational and all but finitely many non abelian composition factors of G are isomorphic to PSL(2; p) for some prime p, then G contains only finitely many maximal subgroups.

本文言語	英語
ページ（範囲）	167-174
ページ数	8
ジャーナル	International Journal of Group Theory
巻	2
号	1
出版ステータス	出版済み - 2013
外部発表	はい

!!!All Science Journal Classification (ASJC) codes

代数と数論

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AB - We discuss whether finiteness properties of a profinite group G can be deduced from the coeffcients of the probabilistic zeta function PG(s). In particular we prove that if PG(s) is rational and all but finitely many non abelian composition factors of G are isomorphic to PSL(2; p) for some prime p, then G contains only finitely many maximal subgroups.

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SN - 2251-7650

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JO - International Journal of Group Theory

JF - International Journal of Group Theory

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ER -

A finiteness condition on the coefficients of the probabilistic Zeta function

抄録

!!!All Science Journal Classification (ASJC) codes

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