Parity features for classes of the infinite symmetric group
نویسندگان
چکیده
منابع مشابه
Cubes of Conjugacy Classes Covering the Infinite Symmetric Group
Using combinatorial methods, we prove the following theorem on the group S of all permutations of a countably-infmite set: Whenever p 6 S has infinite support without being a fixed-point-free involution, then any s G S is a product of three conjugates of p. Furthermore, we present uncountably many new conjugacy classes C of S satisfying that any s G S is a product of two elements of C. Similar ...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1982
ISSN: 0097-3165
DOI: 10.1016/0097-3165(82)90081-4