Orbit sizes and odd order composition factors of finite linear groups
J Li, Y Yang - Bulletin des Sciences Mathématiques, 2021 - Elsevier
In this paper, we study the existence of large orbits of odd-order subgroups of a finite
solvable linear group G, and present some applications on bounding the odd-order parts of …
solvable linear group G, and present some applications on bounding the odd-order parts of …
[PDF][PDF] Fixing two points in primitive solvable groups
F Lisi, L Sabatini - arXiv preprint arXiv:2403.09425, 2024 - arxiv.org
arXiv:2403.09425v1 [math.GR] 14 Mar 2024 Page 1 arXiv:2403.09425v1 [math.GR] 14 Mar
2024 FIXING TWO POINTS IN PRIMITIVE SOLVABLE GROUPS FRANCESCA LISI AND LUCA …
2024 FIXING TWO POINTS IN PRIMITIVE SOLVABLE GROUPS FRANCESCA LISI AND LUCA …
On Gluck's conjecture for wreath product type groups
H Meng, X Guo - Journal of Group Theory, 2025 - degruyter.com
A well-known conjecture of Gluck claims that| G: F (G)|≤ b (G) 2 for all finite solvable groups
𝐺, where F(G) is the Fitting subgroup and b(G) is the largest degree of a complex …
𝐺, where F(G) is the Fitting subgroup and b(G) is the largest degree of a complex …
[HTML][HTML] On two questions from the Kourovka Notebook
A Ballester-Bolinches, J Cossey, SF Kamornikov… - Journal of Algebra, 2018 - Elsevier
The aim of this paper is to give answers to some questions concerning intersections of
system normalisers and prefrattini subgroups of finite soluble groups raised by the third …
system normalisers and prefrattini subgroups of finite soluble groups raised by the third …
Monomial characters and the index of the Fitting subgroup of a solvable group
J Li, F Bian, X Zhang - Communications in Algebra, 2023 - Taylor & Francis
Monomial characters and the index of the Fitting subgroup of a solvable group Page 1
COMMUNICATIONS IN ALGEBRA® 2023, VOL. 51, NO. 11, 4866–4870 https://doi.org/10.1080/00927872.2023.2217911 …
COMMUNICATIONS IN ALGEBRA® 2023, VOL. 51, NO. 11, 4866–4870 https://doi.org/10.1080/00927872.2023.2217911 …
Characters and Blocks of Solvable Groups
J Cossey, Y Yang - Springer
Many years ago, the first author, in the course of exploring various topics in the character
theory of solvable groups, started coming across “large orbit theorems”. These …
theory of solvable groups, started coming across “large orbit theorems”. These …
On large orbits of supersoluble subgroups of linear groups
H Meng, A Ballester‐Bolinches… - Journal of the London …, 2020 - Wiley Online Library
On large orbits of supersoluble subgroups of linear groups - Meng - 2020 - Journal of the
London Mathematical Society - Wiley Online Library Skip to Article Content Skip to Article …
London Mathematical Society - Wiley Online Library Skip to Article Content Skip to Article …
On Large Orbits of Actions of Finite Soluble Groups: Applications
A Ballester-Bolinches, R Esteban-Romero… - Recent Advances in Pure …, 2020 - Springer
The main aim of this survey paper is to present two orbit theorems and to show how to apply
them to obtain a result that can be regarded as a significant step towards the solution of …
them to obtain a result that can be regarded as a significant step towards the solution of …