IJPAM: Volume 93, No. 1 (2014)
SOME GROUPS OF ORDER
Department of Mathematics
Kurukshetra, 136 119, INDIA
Abstract. For an odd prime there are 43 isoclinism families of groups of order given by James [#!James!#]. Let be a group lying in these families.
We sort out those groups for which
. Let denotes the groups of all central automorphisms of . We give an upper bound for in terms of
Received: August 20, 2013
AMS Subject Classification: 20D45, 20D15
Key Words and Phrases: finite p-groups, inner automorphism, class preserving automorphism, central automorphism, isoclinism
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DOI: 10.12732/ijpam.v93i1.2 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 7 - 21
This work is licensed under the Creative Commons Attribution International License (CC BY).