Journal of Lie Theory

no. 1
Groups with Flat-Rank Greater Than 1
Journal of Lie Theory, Volume 33 (2023) no. 1, pp. 433-452
A general method for finding subgroups of a totally disconnected, locally compact groups having flat-rank greater than 1 is described. This method uses the internal structure of the group, notably the Levi subgroup of a given flat group, in order to produce a new flat group which, under an additional hypothesis, has flat-rank one greater than that of the given group.
DOI: 10.5802/jolt.1289
Classification: 22D05, 22D45
Keywords: Totally disconnected locally compact group, scale, flat-rank, levi subgroup 
@article{JOLT_2023_33_1_a17,
     author = {G. A. Willis},
     title = {Groups with {Flat-Rank} {Greater} {Than} 1},
     journal = {Journal of Lie Theory},
     pages = {433--452},
     year = {2023},
     volume = {33},
     number = {1},
     doi = {10.5802/jolt.1289},
     zbl = {1531.22002},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1289/}
}
TY  - JOUR
AU  - G. A. Willis
TI  - Groups with Flat-Rank Greater Than 1
JO  - Journal of Lie Theory
PY  - 2023
SP  - 433
EP  - 452
VL  - 33
IS  - 1
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1289/
DO  - 10.5802/jolt.1289
ID  - JOLT_2023_33_1_a17
ER  - 
%0 Journal Article
%A G. A. Willis
%T Groups with Flat-Rank Greater Than 1
%J Journal of Lie Theory
%D 2023
%P 433-452
%V 33
%N 1
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.1289/
%R 10.5802/jolt.1289
%F JOLT_2023_33_1_a17
G. A. Willis. Groups with Flat-Rank Greater Than 1. Journal of Lie Theory, Volume 33 (2023) no. 1, pp. 433-452. doi: 10.5802/jolt.1289

Cited by Sources: