We prove that every finite simple group G of Lie type satisfies G = UU-UU-, where U is a unipotent Sylow subgroup of G and U- is its opposite. We also characterize the cases for which G = UU-U. These results are best possible in terms of the number of conjugates of U in the above factorizations.
Minimal length factorizations of finite simple groups of Lie type by unipotent Sylow subgroups
Garonzi M;
2016
Abstract
We prove that every finite simple group G of Lie type satisfies G = UU-UU-, where U is a unipotent Sylow subgroup of G and U- is its opposite. We also characterize the cases for which G = UU-U. These results are best possible in terms of the number of conjugates of U in the above factorizations.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
