Hall classes in linear groups
-
Francesco de Giovanni
,
Marco Trombetti
und
Bertram A. F. Wehrfritz
Abstract
A well-known theorem of Philip Hall states that if a group 𝐺 has a nilpotent normal subgroup 𝑁 such that
Acknowledgements
The first two authors are supported by GNSAGA (INdAM) and are members of AGTA – Advances in Group Theory and Applications (www.advgrouptheory.com).
Communicated by: Evgenii I. Khukhro
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© 2023 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Presentations of Schur covers of braid groups
- Graphical complexes of groups
- Narrow normal subgroups of Coxeter groups and of automorphism groups of Coxeter groups
- A closure operator on the subgroup lattice of GL(𝑛,𝑞) and PGL(𝑛,𝑞) in relation to the zeros of the Möbius function
- On the strong connectivity of the 2-Engel graphs of almost simple groups
- Finitely generated metabelian groups arising from integer polynomials
- Finite 𝑝-groups of class two with a small multiple holomorph
- Hall classes in linear groups
- Projective representations of Heisenberg groups over the rings of order 𝑝2
Artikel in diesem Heft
- Frontmatter
- Presentations of Schur covers of braid groups
- Graphical complexes of groups
- Narrow normal subgroups of Coxeter groups and of automorphism groups of Coxeter groups
- A closure operator on the subgroup lattice of GL(𝑛,𝑞) and PGL(𝑛,𝑞) in relation to the zeros of the Möbius function
- On the strong connectivity of the 2-Engel graphs of almost simple groups
- Finitely generated metabelian groups arising from integer polynomials
- Finite 𝑝-groups of class two with a small multiple holomorph
- Hall classes in linear groups
- Projective representations of Heisenberg groups over the rings of order 𝑝2
