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Profinite groups in which the probabilistic zeta function coincides with the subgroup zeta function

✍ Scribed by Damian, E.; Lucchini, A.


Book ID
121470322
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
421 KB
Volume
402
Category
Article
ISSN
0021-8693

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We investigate the topological properties of the poset of proper cosets xH in a finite group G. Of particular interest is the reduced Euler characteristic, which is closely related to the value at -1 of the probabilistic zeta function of G. Our main result gives divisibility properties of this reduc