Research output: Contribution to journal › Article › peer-review
On orders of elements of finite almost simple groups with linear or unitary socle. / Grechkoseeva, Mariya A.
In: Journal of Group Theory, Vol. 20, No. 6, 01.11.2017, p. 1191-1222.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - On orders of elements of finite almost simple groups with linear or unitary socle
AU - Grechkoseeva, Mariya A.
PY - 2017/11/1
Y1 - 2017/11/1
N2 - We say that a finite almost simple G with socle S is admissible (with respect to the spectrum) if G and S have the same sets of orders of elements. Let L be a finite simple linear or unitary group of dimension at least three over a field of odd characteristic. We describe admissible almost simple groups with socle L. Also we calculate the orders of elements of the coset Lτ, where τ is the inverse-transpose automorphism of L.
AB - We say that a finite almost simple G with socle S is admissible (with respect to the spectrum) if G and S have the same sets of orders of elements. Let L be a finite simple linear or unitary group of dimension at least three over a field of odd characteristic. We describe admissible almost simple groups with socle L. Also we calculate the orders of elements of the coset Lτ, where τ is the inverse-transpose automorphism of L.
KW - AUTOMORPHIC EXTENSIONS
KW - SPECTRA
KW - FIELDS
KW - RECOGNITION
UR - http://www.scopus.com/inward/record.url?scp=85038436224&partnerID=8YFLogxK
U2 - 10.1515/jgth-2017-0010
DO - 10.1515/jgth-2017-0010
M3 - Article
AN - SCOPUS:85038436224
VL - 20
SP - 1191
EP - 1222
JO - Journal of Group Theory
JF - Journal of Group Theory
SN - 1433-5883
IS - 6
ER -
ID: 9645217