No CrossRef data available.
Article contents
ENUMERATION OF GROUPS IN SOME SPECIAL VARIETIES OF A-GROUPS
Published online by Cambridge University Press: 27 August 2024
Abstract
We find an upper bound for the number of groups of order n up to isomorphism in the variety ${\mathfrak {S}}={\mathfrak {A}_p}{\mathfrak {A}_q}{\mathfrak {A}_r}$, where p, q and r are distinct primes. We also find a bound on the orders and on the number of conjugacy classes of subgroups that are maximal amongst the subgroups of the general linear group that are also in the variety
$\mathfrak {A}_q\mathfrak {A}_r$.
Keywords
MSC classification
- Type
- Research Article
- Information
- Copyright
- © The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
References
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240824023521338-0591:S0004972724000431:S0004972724000431_inline637.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240824023521338-0591:S0004972724000431:S0004972724000431_inline638.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240824023521338-0591:S0004972724000431:S0004972724000431_inline639.png?pub-status=live)