A Note on Partition-Inducing Automorphism Groups
Canadian mathematical bulletin, Tome 27 (1984) no. 2, pp. 157-159
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We consider a finite group G with a group A acting on it in such a way as to induce a partition of G # (a situation which arises in the study of centralizer near-rings). With the additional hypothesis that (|A ω|, |G|) = 1, it is shown that either A is semiregular on G # or G is an irreducible module for A.
Pettet, Martin R. A Note on Partition-Inducing Automorphism Groups. Canadian mathematical bulletin, Tome 27 (1984) no. 2, pp. 157-159. doi: 10.4153/CMB-1984-024-x
@article{10_4153_CMB_1984_024_x,
author = {Pettet, Martin R.},
title = {A {Note} on {Partition-Inducing} {Automorphism} {Groups}},
journal = {Canadian mathematical bulletin},
pages = {157--159},
year = {1984},
volume = {27},
number = {2},
doi = {10.4153/CMB-1984-024-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-024-x/}
}
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