1. Computing p-groups with trivial Schur multiplicator
- Author
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Eick, Bettina
- Subjects
- *
GROUP theory , *SCHUR multiplier , *FINITE groups , *SET theory , *COMPUTER simulation , *NUMERICAL analysis - Abstract
Abstract: Recently the author has shown that there are only finitely many p-groups with trivial Schur multiplicator of a given coclass if p is an odd prime. This paper introduces an algorithm to compute these finitely many p-groups for any given prime and coclass. As an application, we classify these groups for coclass 1, give a conjectural description for them for coclass 2 and determine them for coclass 3 and and coclass 4 and . Based on the experimental evidence, we conjecture that the order of a p-group with trivial Schur multiplicator and coclass r is bounded by a function which is independent of the prime p. [Copyright &y& Elsevier]
- Published
- 2009
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