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On an Isomorphism Problem for Endomorphism Near-Rings
Author(s):
Gary
L.
Peterson
Journal:
Proc. Amer. Math. Soc.
126
(1998),
1897-1900.
MSC (1991):
Primary 16Y30;
Secondary 20E36
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Abstract:
Suppose and are endomorphism near-rings generated by groups of automorphisms containing the inner automorphisms of two respective finite perfect groups and . In this note we show that if and are isomorphic, then and are isomorphic.
References:
- 1.
- C. G. Lyons and G. Mason, Endomorphisms of near-rings of dicyclic groups and generalized dihedral groups, Proc. Royal Irish Acad., 91A(1991), 99-111. MR 93a:16038
- 2.
- C. G. Lyons and J. D. P. Meldrum,
-series and tame near-rings, Proc. Royal Soc. Edinburgh, 86A(1980), 153-163. MR 82d:16033 - 3.
- J. D. P. Meldrum, Near-Rings and their links with groups, Pitman, London, 1985. MR 88a:16068
- 4.
- G. L. Peterson, On the structure of an endomorphism near-ring, Proc. Edinburgh Math. Soc., 32(1989), 223-229. MR 90e:16063
- 5.
- S. A. Syskin, On a problem of C. Lyons and G. Mason, to appear
- 6.
- S. D. Scott, Tame near-rings and
-groups, Proc. Edinburgh Math. Soc., 23(1980), 275-296. MR 83b:16032 - 7.
- S. D. Scott, On the finiteness and uniqueness of certain 2-tame
-groups, Proc. Edinburgh Math. Soc., 38(1995), 193-205. MR 96d:16058
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Additional Information:
Gary
L.
Peterson
Affiliation:
Department of Mathematics James Madison University Harrisonburg, Virginia 22807
Email:
peterson@math.jmu.edu
DOI:
10.1090/S0002-9939-98-04302-0
PII:
S 0002-9939(98)04302-0
Keywords:
Near-ring,
endomorphism near-ring
Received by editor(s):
June 30, 1996
Received by editor(s) in revised form:
December 6, 1996
Communicated by:
Lance W. Small
Copyright of article:
Copyright
1998,
American Mathematical Society
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