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- W2990055608 abstract "Let $mathcal{S}_q$ denote the group of all square elements in the multiplicative group $mathbb{F}_q^*$ of a finite field $mathbb{F}_q$ of odd characteristic containing $q$ elements. Let $mathcal{O}_q$ be the set of all odd order elements of $mathbb{F}_q^*$. Then $mathcal{O}_q$ turns up as a subgroup of $mathcal{S}_q$. In this paper, we show that $mathcal{O}_q=langle4rangle$ if $q=2t+1$ and, $mathcal{O}_q=langle trangle $ if $q=4t+1$, where $q$ and $t$ are odd primes. Further, we determine the coefficients of irreducible factors of $x^{2^nt}-1$ using generators of these special subgroups of $mathbb{F}_q^*$" @default.
- W2990055608 created "2019-12-05" @default.
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- W2990055608 date "2019-12-01" @default.
- W2990055608 modified "2023-09-24" @default.
- W2990055608 title "Some subgroups of $mathbb{F}_q^*$ and explicit factors of $x^{2^nd}-1inmathbb{F}_q[x]$" @default.
- W2990055608 doi "https://doi.org/10.22108/toc.2019.114742.1612" @default.
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