Modular augmentation ideals
1972 ◽
Vol 71
(1)
◽
pp. 25-32
◽
An ideal of an integral group ring is divisible by a given integer if all of its elements share this common factor; the ideals most often encountered are rarely divisible in this sense. Only in the case of finite p-groups are powers of the augmentation ideal of the integral group ring ever divisible. For every e, there is some n for which the nth power of the augmentation ideal is divisible by pe. The smallest such integer n arises in many contexts; this paper describes its properties and interpretations.
1973 ◽
Vol 25
(2)
◽
pp. 353-359
◽
1977 ◽
Vol 82
(1)
◽
pp. 25-33
◽
2005 ◽
Vol 15
(05n06)
◽
pp. 1061-1073
Keyword(s):
1970 ◽
Vol 68
(2)
◽
pp. 285-289
◽
Keyword(s):
1981 ◽
Vol 90
(2)
◽
pp. 251-257
Keyword(s):
1969 ◽
Vol 66
(3)
◽
pp. 505-512
◽
Keyword(s):
2002 ◽
Vol 46
(1)
◽
pp. 233-245
◽
1990 ◽
Vol 42
(3)
◽
pp. 383-394
◽