Results 11 to 20 of about 95 (92)
Punctured groups for exotic fusion systems
Transactions of the London Mathematical Society, Volume 10, Issue 1, Page 21-99, December 2023., 2023 Abstract The transporter systems of Oliver and Ventura and the localities of Chermak are classes of algebraic structures that model the p$p$‐local structures of finite groups. Other than the transporter categories and localities of finite groups, important examples include centric, quasicentric, and subcentric linking systems for saturated fusion ...
Ellen Henke, Assaf Libman, Justin Lynd
wiley +1 more source
Height zero conjecture with Galois automorphisms
Journal of the London Mathematical Society, Volume 107, Issue 2, Page 548-567, February 2023., 2023 Abstract We prove a strengthening of Brauer's height zero conjecture for principal 2‐blocks with Galois automorphisms. This requires a new extension of the Itô–Michler theorem for the prime 2, again with Galois automorphisms. We close, this time for odd primes p$p$, with a new characterisation of p$p$‐closed groups via the decomposition numbers of ...
Gunter Malle, Gabriel Navarro
wiley +1 more source
Hyperbolic generalized triangle groups, property (T) and finite simple quotients
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3577-3637, December 2022., 2022 Abstract We construct several series of explicit presentations of infinite hyperbolic groups enjoying Kazhdan's property (T). Some of them are significantly shorter than the previously known shortest examples. Moreover, we show that some of those hyperbolic Kazhdan groups possess finite simple quotient groups of arbitrarily large rank; they constitute ...
Pierre‐Emmanuel Caprace +3 more
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Between buildings and free factor complexes: A Cohen–Macaulay complex for Out(RAAGs)
Journal of the London Mathematical Society, Volume 105, Issue 1, Page 251-307, January 2022., 2022 Abstract For every finite graph Γ$\Gamma$, we define a simplicial complex associated to the outer automorphism group of the right‐angled Artin group (RAAG) AΓ$A_\Gamma$. These complexes are defined as coset complexes of parabolic subgroups of Out0(AΓ)$\operatorname{Out}^0(A_\Gamma )$ and interpolate between Tits buildings and free factor complexes.
Benjamin Brück
wiley +1 more source
Calculating the virtual cohomological dimension of the automorphism group of a RAAG
Bulletin of the London Mathematical Society, Volume 53, Issue 1, Page 259-273, February 2021., 2021 Abstract We describe an algorithm to find the virtual cohomological dimension of the automorphism group of a right‐angled Artin group. The algorithm works in the relative setting; in particular, it also applies to untwisted automorphism groups and basis‐conjugating automorphism groups.
Matthew B. Day +2 more
wiley +1 more source
, 2002 The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all ...
Vasantha, Kandasamy
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Subgrupos solitarios de grupos finitos [PDF]
, 2016 [EN] The scope of this thesis is the abstract finite group theory. All the groups we will consider will be finite. hence, the word "group" will be understood as a synonimous of "finite group".
Liriano Castro, Orieta del Corazón de Jesús
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АППРОКСИМИРУЕМОСТЬ ФУНДАМЕНТАЛЬНОЙ ГРУППЫ КОНЕЧНОГО ГРАФА ГРУПП КОРНЕВЫМ КЛАССОМ ГРУПП [PDF]
, 2016 Let \(\mathcal{K}\) be an abstract class of groups. Suppose \(\mathcal{K}\) contains at least a non trivial group.Then \(\mathcal{K}\) is called a root-class if the following conditions are satisfied:1. If \(A \in \mathcal{K}\) and \(B \leq A\), then \(B
Д. Гольцов В.; Ивановский государственный университет +1 more
core +2 more sources
On groups with formational subnormal Sylow subgroups
, 2017 We investigate a finite group G with 𝔉 {\mathfrak{F}} -subnormal ...
Irina L. Sokhor, Victor S. Monakhov
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