On Ditsman’s lemma
Let H be a subgroup of a group G generated by a finite G -invariant subset X = tU i =1 k C i that consists of elements of finite order, where C i is a class of conjugate elements of G with representative a i . We prove that where o ( a i ) is the order of the element a i ∈ C i . Best estimates are o...
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| Veröffentlicht in: | Proceedings of the Steklov Institute of Mathematics 2014-06, Vol.285 (Suppl 1), p.91-98 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let
H
be a subgroup of a group
G
generated by a finite
G
-invariant subset
X
= tU
i
=1
k
C
i
that consists of elements of finite order, where
C
i
is a class of conjugate elements of
G
with representative
a
i
. We prove that
where
o
(
a
i
) is the order of the element
a
i
∈
C
i
. Best estimates are obtained for some important special cases. |
|---|---|
| ISSN: | 0081-5438 1531-8605 |
| DOI: | 10.1134/S0081543814050095 |