Results 11 to 20 of about 1,217 (67)
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
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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
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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
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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
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On embedding properties of SD‐groups
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 2, Page 65-76, 2004., 2004 Continuing our recent research on embedding properties of generalized soluble and generalized nilpotent groups, we study some embedding properties of SD‐groups. We show that every countable SD‐group G can be subnormally embedded into a two‐generator SD‐group H.
Vahagn H. Mikaelian
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Stable equivalence relations on 4‐manifolds
Proceedings of the London Mathematical Society, Volume 131, Issue 5, November 2025.Abstract Kreck's modified surgery gives an approach to classifying smooth 2n$2n$‐manifolds up to stable diffeomorphism, that is, up to connected sum with copies of Sn×Sn$S^n \times S^n$. In dimension 4, we use a combination of modified and classical surgery to study various stable equivalence relations which we compare to stable diffeomorphism.
Daniel Kasprowski +2 more
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On minimal artinian modules and minimal artinian linear groups
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 12, Page 707-714, 2001., 2001 The paper is devoted to the study of some important types of minimal artinian linear groups. The authors prove that in such classes of groups as hypercentral groups (so also, nilpotent and abelian groups) and FC‐groups, minimal artinian linear groups have precisely the same structure as the corresponding irreducible linear groups.
Leonid A. Kurdachenko, Igor Ya. Subbotin
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International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 393-395, 1997., 1995 Let G be a finite group and H be an operator group of G. In this short note, we show a relationship between subnormal subgroup chains and H‐invariant subgroup chains. We remark that the structure of H is quite restricted when G has a special H‐invariant subgroup chain.
Yanming Wang
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