The centralizer of a subgroup in a group algebra
2012 ◽
Vol 56
(1)
◽
pp. 49-56
◽
Keyword(s):
AbstractLet F be an algebraically closed field, G be a finite group and H be a subgroup of G. We answer several questions about the centralizer algebra FGH. Among these, we provide examples to show that•the centre Z(FGH) can be larger than the F-algebra generated by Z(FG) and Z(FH),•FGH can have primitive central idempotents that are not of the form ef, where e and f are primitive central idempotents of FG and FH respectively,•it is not always true that the simple FGH-modules are the same as the non-zero FGH-modules HomFH(S, T ↓ H), where S and T are simple FH and FG-modules, respectively.
2014 ◽
Vol 22
(2)
◽
pp. 51-56
1979 ◽
Vol 28
(3)
◽
pp. 321-324
◽
Keyword(s):
Keyword(s):
1969 ◽
Vol 9
(1-2)
◽
pp. 109-123
◽
Keyword(s):
1998 ◽
Vol 124
(1)
◽
pp. 73-80
◽
Keyword(s):
2021 ◽
Vol 14
(3)
◽
pp. 816-828
Keyword(s):
1995 ◽
Vol 47
(5)
◽
pp. 929-945
◽