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Your search keyword '"Massimiliano Patassini"' showing total 2 results
Start Over Author "Massimiliano Patassini" Publisher elsevier bv
2 results on '"Massimiliano Patassini"'

1. On the (non-)contractibility of the order complex of the coset poset of a classical group

Author

Massimiliano Patassini

Subjects
Classical group, Discrete mathematics, Algebra and Number Theory, Prove it, Probabilistic zeta function, Order complex, Automorphism, Graph, Dirichlet distribution, Combinatorics, Simplicial complex, symbols.namesake, Contractibility, symbols, Coset, Coset poset, Partially ordered set, Brown conjecture, Mathematics
Abstract

Let G be a classical group and suppose that G does not contains non-trivial graph automorphisms. In this paper we prove that the order complex of the coset poset of G is non-contractible. In order to prove it, we show that PG(−1) does not vanish, where PG(s) is the Dirichlet polynomial associated to the group G.

Published
2011
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2. Recognizing the characteristic of a simple group of Lie type from its Probabilistic Zeta function

Author

Massimiliano Patassini

Subjects
Finite group, Algebra and Number Theory, Outer automorphism group, Alternating group, Characteristic, Probabilistic Zeta function, Simple groups, Combinatorics, Algebra, Groups of Lie type, Matrix group, Group of Lie type, Symmetric group, Unitary group, Simple group, Mathematics
Abstract

We find a method to recognize the characteristic of a simple group of Lie type G from its Dirichlet polynomial P G ( s ) . This is enough to complete the proof of the following statement: if G is a simple group, H is a finite group and P G ( s ) = P H ( s ) , then H / Frat ( H ) ≅ G .

Published
2011
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