Journal fur die Reine und Angewandte Mathematik
SCOPUS (1826-1921,1923-1943,1949-2023)SCIE-ISI
0075-4102
1435-5345
Đức
Cơ quản chủ quản: Walter de Gruyter GmbH
Lĩnh vực:
Mathematics (miscellaneous)Applied Mathematics
Phân tích ảnh hưởng
Các bài báo tiêu biểu
Topological full groups of one-sided shifts of finite typeAbstract
We explore the topological full group
〚
G
〛
$\llbracket G\rrbracket $
of
an essentially principal étale groupoid G on a Cantor set.
When G is minimal,
we show that
〚
G
〛
$\llbracket G\rrbracket $
(and its certain normal subgroup) is a complete invariant
for the isomorphism class of the étale groupoid G .
Furthermore, when G is either almost finite or purely infinite,
the commutator subgroup
D
(
〚
G
〛
)
$D(\llbracket G\rrbracket )$
is shown to be simple.
The étale groupoid G
arising from a one-sided irreducible shift of finite type is
a typical example of a purely infinite minimal groupoid.
For such G ,
〚
G
〛
$\llbracket G\rrbracket $
is thought of as a generalization of the Higman–Thompson group.
We prove that
〚
G
〛
$\llbracket G\rrbracket $
is of type F
∞ ,
and so in particular it is finitely presented.
This gives us a new infinite family of
finitely presented infinite simple groups.
Also, the abelianization of
hiện toàn bộ
Tập 2015 Số 705 - Trang 35-84 - 2015
Konstruktion von galoisschen Körpern der Charakteristik p zu vorgegebener Gruppe der Ordnung pf.
Tập 1936 Số 174 - Trang 237-245 - 1936
Yau–Tian–Donaldson correspondence for K-semistable Fano manifoldsAbstract
Using the recent compactness results of Tian and Chen–Donaldson–Sun, we prove the K-semistable version of Yau–Tian–Donaldson correspondence for Fano manifolds.
Tập 2017 Số 733 - Trang 55-85 - 2017
Simple endotrivial modules for quasi-simple groupsAbstract
We investigate simple endotrivial modules of finite quasi-simple groups and
classify them in several important cases. This is motivated by a recent result
of Robinson [Bull. Lond. Math. Soc.
43 (2011), 712–716] showing that simple endotrivial modules of most groups
come from quasi-simple groups.
Tập 2016 Số 712 - Trang 141-174 - 2016