The nilpotency index of the radicals of group algebras of finite groups whose Sylow 3-subgroups are extra-special of order 27 of exponent 3
DOI10.1017/S0308210500026573zbMath0636.20005OpenAlexW2062303286MaRDI QIDQ3775704
Publication date: 1988
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0308210500026573
Jacobson radicalprincipal indecomposable modulesgroup ringTits simple groupnilpotency indexLoewy seriesp-solvable groupSylow 3-subgroup
Simple groups: sporadic groups (20D08) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Projective representations and multipliers (20C25) Radicals and radical properties of associative rings (16Nxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the nilpotency index of the radical of a group algebra
- Group algebras with radicals of square zero
- The modular characters of the tits simple group and its automorphism group
- On the loewy series of the group algebra of a finite p-solvable group with p-length>1∗
- The loewy structure of the projective indecomposable modules for sl(3,3) And its automorphism group in characteristic 3
- The Geometry and Maximal Subgroups of the Simple Groups of A. Rudvalis and J. Tits
- Lower bounds for the radical of the group algebra of a finite p-soluble group
This page was built for publication: The nilpotency index of the radicals of group algebras of finite groups whose Sylow 3-subgroups are extra-special of order 27 of exponent 3
