A FINITENESS CONDITION ON THE COEFFICIENTS OF THE PROBABILISTIC ZETA FUNCTION

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DUNG DUONG HOANG; LUCCHINI ANDREA

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Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2013 | Volume:2 | Issue:1 Page(s): 167-174

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Title

A FINITENESS CONDITION ON THE COEFFICIENTS OF THE PROBABILISTIC ZETA FUNCTION

Author(s)

DUNG DUONG HOANG | LUCCHINI ANDREA | Issue Writer Certificate

Keywords

PROBABILISTIC ZETA FUNCTIONQ4

SPECIAL LINEAR GROUPSQ4

Abstract

We discuss whether finiteness properties of a pro finite group G can be deduced from the coefficients 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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APA: Copy

DUNG, DUONG HOANG, & LUCCHINI, ANDREA. (2013). A FINITENESS CONDITION ON THE COEFFICIENTS OF THE PROBABILISTIC ZETA FUNCTION. INTERNATIONAL JOURNAL OF GROUP THEORY, 2(1), 167-174. SID. https://sid.ir/paper/212656/en

Vancouver: Copy

DUNG DUONG HOANG, LUCCHINI ANDREA. A FINITENESS CONDITION ON THE COEFFICIENTS OF THE PROBABILISTIC ZETA FUNCTION. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2013;2(1):167-174. Available from: https://sid.ir/paper/212656/en

IEEE: Copy

DUONG HOANG DUNG, and ANDREA LUCCHINI, “A FINITENESS CONDITION ON THE COEFFICIENTS OF THE PROBABILISTIC ZETA FUNCTION,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 2, no. 1, pp. 167–174, 2013, [Online]. Available: https://sid.ir/paper/212656/en

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