Results 51 to 60 of about 1,094 (186)

Fusion systems related to polynomial representations of SL2(q)$\operatorname{SL}_2(q)$

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let q$q$ be a power of a fixed prime p$p$. We classify up to isomorphism all simple saturated fusion systems on a certain class of p$p$‐groups constructed from the polynomial representations of SL2(q)$\operatorname{SL}_2(q)$, which includes the Sylow p$p$‐subgroups of GL3(q)$\mathrm{GL}_3(q)$ and Sp4(q)$\mathrm{Sp}_4(q)$ as special cases.
Valentina Grazian, Chris Parker, Jason Semeraro, Martin van Beek   +3 more
wiley   +1 more source

The divisibility conjecture for automorphism groups of finite p-groups [PDF]

Advances in Group Theory and Applications, 2020
Jill Dietz
doaj   +1 more source

Automorphisms of the generalized cluster complex

The American Journal of Combinatorics
We exhibit a dihedral symmetry in the generalized cluster complex defined by Fomin and Reading. Together with diagram symmetries, they generate the automorphism group of the complex.
Matthieu Josuat-Vergès
doaj   +1 more source

p$p$‐adic equidistribution and an application to S$S$‐units

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We prove a Galois equidistribution result for torsion points in Gmn$\mathbb {G}_m^n$ in the p$p$‐adic setting for test functions of the form log|F|p$\log |F|_p$ where F$F$ is a nonzero polynomial with coefficients in the field of complex p$p$‐adic numbers.
Gerold Schefer
wiley   +1 more source

On the Euler characteristic of S$S$‐arithmetic groups

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley   +1 more source

Noninner automorphisms of finite p-groups leaving the center elementwise fixed [PDF]

International Journal of Group Theory, 2013
A longstanding conjecture asserts that every finite nonabelian p-group admits a noninner automorphism of order p. Let G be a finite nonabelian p-group.
Alireza Abdollahi, S. Mohsen Ghoraishi
doaj  

The L$L$‐polynomials of van der Geer–van der Vlugt curves in characteristic 2

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract The van der Geer–van der Vlugt curves form a class of Artin–Schreier coverings of the projective line over finite fields. We provide an explicit formula for their L$L$‐polynomials in characteristic 2, expressed in terms of characters of maximal abelian subgroups of the associated Heisenberg groups.
Tetsushi Ito, Daichi Takeuchi, Takahiro Tsushima   +2 more
wiley   +1 more source

The automorphism group of the Andrásfai graph [PDF]

Discrete Mathematics Letters, 2022
Seyed Morteza Mirafzal
doaj   +1 more source

The coprime graph of a group [PDF]

International Journal of Group Theory, 2014
The coprime graph $gg$ with a finite group $G$ as follows: Take $G$ as the vertices of $gg$ and join two distinct vertices $u$ and $v$ if $(|u|,|v|)=1$.
Xuan Long Ma , Hua Quan Wei, Li Ying Yang   +2 more
doaj  

Automorphisms of locally compact groups [PDF]

Pacific Journal of Mathematics, 1978
It is proved that for arbitrary locally compact groups G the automorphism group Aut (G) is a complete topological group. Several conditions equivalent to closedness of the group Int (G) of inner automorphisms are given, such as G admits no nontrivial central sequences. It is shown that Aut (G) is topologically embedded in the automorphism group Aut^(G)
Peters, J., Sund, Terje
openaire   +4 more sources