Volume 10, Issue 1
مرور بر اساس
ارسال های اخیر
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Characterization of finite groups with a unique non-nilpotent proper subgroup
(University of Isfahan, 2021-03-01)We characterize finite non-nilpotent groups $G$ with a unique non-nilpotent proper subgroup. We show that $|G|$ has at most three prime divisors. When $G$ is supersolvable we find the presentation of $G$ and when $G$ ...
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A note on locally soluble almost subnormal subgroups in divsion rings
(University of Isfahan, 2021-03-01)Let $D$ be a division ring with center $F$ and assume that $N$ is a locally soluble almost subnormal subgroup of the multiplicative group $D^*$ of $D$. We prove that if $N$ is algebraic over $F$, then $N$ is central. ...
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Weakly totally permutable products and Fitting classes
(University of Isfahan, 2021-03-01)It is known that if $ G=AB $ is a product of its totally permutable subgroups $ A $ and $ B $, then $ Gin mathfrak{F} $ if and only if $ Ain mathfrak{F} $ and $ Bin mathfrak{F} $ when $ mathfrak{F} $ is a Fischer class ...
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The character table of a sharply 5-transitive subgroup of the alternating group of degree 12
(University of Isfahan, 2021-03-01)We calculate the character table of a sharply $5$-transitive subgroup of $alter(12)$, and of a sharply $4$-transitive subgroup of $alter(11)$. Our presentation of these calculations is new because we make no reference ...
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Recognition of Janko groups and some simple $K_4$-groups by the order and one irreducible character degree or character degree graph
(University of Isfahan, 2021-03-01)In this paper we prove that some Janko groups are uniquely determined by their orders and one irreducible character degree. Also we prove that some finite simple $K_4$-groups are uniquely determined by their ...
