Abstract
This paper gives a detailed and explicit description of all the 2- minimal subgroups for the finite linear and unitary groups defined over fields of odd characteristic. Also the 2-minimal subgroups of all the subgroups of these groups which contain the special linear and special unitary subgroups are described. For a finite group G, a subgroup P of G is 2-minimal if B < P, where B = NG(S) for some Sylow 2-subgroup S of G, and B is contained in a unique maximal subgroup of P. The 2-minimal subgroups of certain monomial groups, which play an important role in this work, are also determined.
Original language | English |
---|---|
Pages (from-to) | 1-53 |
Journal | Journal of Algebra |
Volume | 543 |
Early online date | 8 Oct 2019 |
DOIs | |
Publication status | Published - 1 Feb 2020 |