Indecomposable representations of groups with a cyclic Sylow subgroup
نویسندگان
چکیده
منابع مشابه
POS-groups with some cyclic Sylow subgroups
A finite group G is said to be a POS-group if for each x in G the cardinality of the set {y in G | o(y) = o(x)} is a divisor of the order of G. In this paper we study the structure of POS-groups with some cyclic Sylow subgroups.
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Let V be a representation of a finite group G over a field of characteristic p. If p does not divide the group order, then Molien’s formula gives the Hilbert series of the invariant ring. In this paper we find a replacement of Molien’s formula which works in the case that |G| is divisible by p but not by p. We also obtain formulas which give generating functions encoding the decompositions of a...
متن کاملpos-groups with some cyclic sylow subgroups
a finite group g is said to be a pos-group if for each x in g the cardinality of the set {y in g | o(y) = o(x)} is a divisor of the order of g. in this paper we study the structure of pos-groups with some cyclic sylow subgroups.
متن کاملpos-groups with some cyclic sylow subgroups
a finite group g is said to be a pos-group if for each x in g the cardinality of the set {y in g | o(y) = o(x)} is a divisor of the order of g. in this paper we study the structure of pos-groups with some cyclic sylow subgroups.
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Let G be a semisimple connected linear Lie group, w, a finite-dimensional irreducible representation of G, tr2 an infinite-dimensional irreducible representation of G which has a nontrivial extension with w,. We study the category of all Harish-Chandra modules whose composition factors are equivalent to w, and Introduction. In a series of articles [5]-[8], I. M. Gelfand, Graev and Ponomarev cla...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1966
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1966-0201528-4