Temat: permutation groups - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Wildness in the product groups
Autorzy:: Hjorth, G.
Powiązania:: https://bibliotekanauki.pl/articles/1205068.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: group actions
Polish groups
group trees
product groups
permutation groups
Borel equivalence relations
Opis:: Non-abelian Polish groups arising as countable products of countable groups can be tame in arbitrarily complicated ways. This contrasts with some results of Solecki who revealed a very different picture in the abelian case.
Źródło:: Fundamenta Mathematicae; 2000, 164, 1; 1-33
0016-2736
Pojawia się w:: Fundamenta Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Maximal clones and maximal permutation groups
Autorzy:: Pálfy, Péter
Powiązania:: https://bibliotekanauki.pl/articles/728844.pdf
Data publikacji:: 2007
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: maximal clones
Rosenberg's primality criterion
O'Nan-Scott theorem
primitive permutation groups
Opis:: A fundamental result in universal algebra is the theorem of Rosenberg describing the maximal subclones in the clone of all operations over a finite set. In group theory, the maximal subgroups of the symmetric groups are classified by the O'Nan-Scott Theorem. We shall explore the similarities and differences between these two analogous major results. In addition, we show that a primitive permutation group of diagonal type can be maximal in the symmetric group only if its socle is the direct product of two isomorphic simple groups, because if the number of simple factors of the socle is greater than two, then the group is contained in the alternating group.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2007, 27, 2; 277-291
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

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