Premium
Recognizing Soluble Groups from their Probabilistic Zeta Functions
Author(s) -
Detomi Eloisa,
Lucchini Andrea
Publication year - 2003
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609303002297
Subject(s) - mathematics , prime (order theory) , probabilistic logic , mathematics subject classification , product (mathematics) , euler's formula , pure mathematics , combinatorics , statistics , mathematical analysis , geometry
It is proved that if P G ( s ) has an Euler product expansion with all factors of the form 1 − c i / q i Swhere each q i is a prime power, then G is soluble. 2000 Mathematics Subject Classification 20P05, 20F05, 11M41.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom