Recognizing the Non-Frattini Abelian Chief Factors of a Finite Group from Its Probabilistic Zeta Function
From MaRDI portal
Publication:4908958
DOI10.1080/00927872.2011.610075zbMath1268.20023OpenAlexW1968215194MaRDI QIDQ4908958
Publication date: 8 March 2013
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2011.610075
Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Other Dirichlet series and zeta functions (11M41) Simple groups: alternating groups and groups of Lie type (20D06) Probabilistic methods in group theory (20P05)
Related Items
On the (non-)contractibility of the order complex of the coset poset of an alternating group. ⋮ On the irreducibility of the Dirichlet polynomial of an alternating group ⋮ Recognizing \(\mathrm{PSL}(2,p)\) in the non-Frattini chief factors of finite groups.
Cites Work
- Recognizing the characteristic of a simple group of Lie type from its probabilistic zeta function.
- Some properties of the probabilistic zeta function of finite simple groups.
- Subgroups of prime power index in a simple group
- Pre-Frattini groups.
- Crowns and factorization of the probabilistic zeta function of a finite group.
- On the irreducibility of the Dirichlet polynomial of a simple group of Lie type.
- The probabilistic zeta function of finite simple groups.
- RECOGNIZING SOLUBLE GROUPS FROM THEIR PROBABILISTIC ZETA FUNCTIONS
- SOME REMARKS ON THE PROBABILITY OF GENERATING AN ALMOST SIMPLE GROUP
- Positively finitely generated groups
- COEFFICIENTS OF THE PROBABILISTIC FUNCTION OF A MONOLITHIC GROUP
- THE EULERIAN FUNCTIONS OF A GROUP
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Recognizing the Non-Frattini Abelian Chief Factors of a Finite Group from Its Probabilistic Zeta Function
