The characters and structure of a class of modular representation algebras of cyclic p-groups
1978 ◽
Vol 26
(4)
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pp. 410-418
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Keyword(s):
C 30
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AbstractLet p,m be the modular representation algebra of the cyclic group of order pm over the prime field Zp. The characters of p, m are derived. For p = 2, this provides an alternative proof of a result due to Carlson (1975), tha 2,m is a local ring. It is shown that for p>2, p, m is a direct sum of 2m local rings. Their dimensions and primitive idempotents are derived.Subject classification (Amer. Math. Soc. (MOS) 1970): 20 C 20, 12 C 05, 12 C 30, 33 A 65.
1982 ◽
Vol 33
(3)
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pp. 351-355
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Keyword(s):
2007 ◽
Vol 75
(1)
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pp. 23-26
Keyword(s):
1982 ◽
Vol 26
(2)
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pp. 215-219
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2018 ◽
Vol 168
(2)
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pp. 305-322
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Keyword(s):
1969 ◽
Vol 21
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pp. 106-135
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Keyword(s):
1992 ◽
Vol 111
(1)
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pp. 47-56
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Keyword(s):
2016 ◽
Vol 16
(09)
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pp. 1750163
Keyword(s):
2021 ◽
pp. 49-62
Keyword(s):