A PROBABILISTIC GENERALIZATION OF SUBNORMALITY

DOI10.1142/S0219498805001204zbMath1094.20045MaRDI QIDQ3025348

Erika Damian, Andrea Lucchini

Publication date: 13 July 2005

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Hall subgroupsfinite groupsnilpotent groupssubnormal subgroupssolvable groupsDirichlet polynomialsprobabilistic zeta functions

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Other Dirichlet series and zeta functions (11M41) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35) Probabilistic methods in group theory (20P05)

Cites Work

• The coset poset and probabilistic zeta function of a finite group

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