GENERALIZED KALOUJNINE GROUPS, UNISERIALITY AND HEIGHT OF AUTOMORPHISMS
2005 ◽
Vol 15
(03)
◽
pp. 503-527
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Keyword(s):
We show that the Lie action of the Kaloujnine group K(p,n) on the vector space (Fp)pn is uniserial. Using some Radon transform techniques we derive a formula for the height of the elements in K(p,n). A generalization of the Kaloujnine groups is introduced by considering automorphisms of a spherically homogeneous tree. We observe that uniseriality fails to hold for these groups and determine their lower central series; finally we discuss in detail Kaloujnine's description of the characteristic subgroups in terms of the (normal) "parallelotopic" subgroups.
2011 ◽
Vol 328
(1)
◽
pp. 287-300
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2018 ◽
Vol 27
(13)
◽
pp. 1842009
Keyword(s):
1979 ◽
Vol 85
(2)
◽
pp. 261-270
◽
1978 ◽
Vol 19
(2)
◽
pp. 153-154
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Keyword(s):
2007 ◽
Vol 16
(10)
◽
pp. 1295-1329
Keyword(s):
1977 ◽
Vol 17
(1)
◽
pp. 53-89
◽
Keyword(s):
2002 ◽
Vol 354
(9)
◽
pp. 3409-3433
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