# Finite Group Theory Research

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/finite-group-theory-research/

## Facts

| Field | Value |
| --- | --- |
| Description | This cluster of papers focuses on the study of finite groups, their representations, and associated graphs such as Cayley graphs and distance-regular graphs. It also explores topics like character degrees, fusion systems, and linear transformations in the context of finite group theory. |
| Domain | Physical Sciences |
| Field | Mathematics |
| OpenAlex ID | t10849 |
| Works | 15 |

## Topic papers all

- [Transfers of metabelian p-groups](https://scholariq.org/papers/transfers-of-metabelian-p-groups/)
- [The distribution of second <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>p</mml:mi> </mml:math> -class groups on coclass graphs](https://scholariq.org/papers/the-distribution-of-second-mml-math-xmlns-mml-http-www-w3-org-1998-math-mathml/)
- [The inductive blockwise Alperin weight condition for PSL (q) and PSU (q) with cyclic outer automorphism groups](https://scholariq.org/papers/the-inductive-blockwise-alperin-weight-condition-for-psl-q-and-psu-q-with-cyclic/)
- [THE SECOND p-CLASS GROUP OF A NUMBER FIELD](https://scholariq.org/papers/the-second-p-class-group-of-a-number-field/)
- [Periodic Bifurcations in Descendant Trees of Finite &amp;lt;i&amp;gt;p&amp;lt;/i&amp;gt;-Groups](https://scholariq.org/papers/periodic-bifurcations-in-descendant-trees-of-finite-and-amp-lt-i-and-amp-gt-p/)
- [Index-&amp;lt;i&amp;gt;p&amp;lt;/i&amp;gt; Abelianization Data of &amp;lt;i&amp;gt;p&amp;lt;/i&amp;gt;-Class Tower Groups](https://scholariq.org/papers/index-and-amp-lt-i-and-amp-gt-p-and-amp-lt-i-and-amp-gt-abelianization-data-of/)
- [The Inductive Blockwise Alperin Weight Condition for PSL(3, <i>q</i>)](https://scholariq.org/papers/the-inductive-blockwise-alperin-weight-condition-for-psl-3-i-q-i/)
- [An equivariant bijection between irreducible Brauer characters and weights for Sp(2n,q)](https://scholariq.org/papers/an-equivariant-bijection-between-irreducible-brauer-characters-and-weights-for/)
- [The inductive blockwise Alperin weight condition for PSp2(q) and odd primes](https://scholariq.org/papers/the-inductive-blockwise-alperin-weight-condition-for-psp2-q-and-odd-primes/)
- [Principalization of 2-class groups of type (2, 2, 2) of biquadratic fields ${\mathbb Q}(\sqrt{p_1p_2q}, \sqrt{-1})$](https://scholariq.org/papers/principalization-of-2-class-groups-of-type-2-2-2-of-biquadratic-fields-mathbb-q/)
- [Modeling Rooted in‐Trees by Finite p‐Groups](https://scholariq.org/papers/modeling-rooted-in-trees-by-finite-p-groups/)
- [Robinson’s conjecture on heights of characters](https://scholariq.org/papers/robinson-s-conjecture-on-heights-of-characters/)
- [The inductive blockwise Alperin weight condition for PSL (q) with (n,q − 1)=1](https://scholariq.org/papers/the-inductive-blockwise-alperin-weight-condition-for-psl-q-with-n-q-1-1/)
- [The Inductive Blockwise Alperin Weight Condition for PSp4(q)](https://scholariq.org/papers/the-inductive-blockwise-alperin-weight-condition-for-psp4-q/)
- [Equivariant correspondences and the inductive Alperin weight condition for type $\mathsf A$](https://scholariq.org/papers/equivariant-correspondences-and-the-inductive-alperin-weight-condition-for-type/)

## Topic primary papers

- [The distribution of second <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>p</mml:mi> </mml:math> -class groups on coclass graphs](https://scholariq.org/papers/the-distribution-of-second-mml-math-xmlns-mml-http-www-w3-org-1998-math-mathml/)
- [The inductive blockwise Alperin weight condition for PSL (q) and PSU (q) with cyclic outer automorphism groups](https://scholariq.org/papers/the-inductive-blockwise-alperin-weight-condition-for-psl-q-and-psu-q-with-cyclic/)
- [Periodic Bifurcations in Descendant Trees of Finite &amp;lt;i&amp;gt;p&amp;lt;/i&amp;gt;-Groups](https://scholariq.org/papers/periodic-bifurcations-in-descendant-trees-of-finite-and-amp-lt-i-and-amp-gt-p/)
- [The Inductive Blockwise Alperin Weight Condition for PSL(3, <i>q</i>)](https://scholariq.org/papers/the-inductive-blockwise-alperin-weight-condition-for-psl-3-i-q-i/)
- [An equivariant bijection between irreducible Brauer characters and weights for Sp(2n,q)](https://scholariq.org/papers/an-equivariant-bijection-between-irreducible-brauer-characters-and-weights-for/)
- [The inductive blockwise Alperin weight condition for PSp2(q) and odd primes](https://scholariq.org/papers/the-inductive-blockwise-alperin-weight-condition-for-psp2-q-and-odd-primes/)
- [Modeling Rooted in‐Trees by Finite p‐Groups](https://scholariq.org/papers/modeling-rooted-in-trees-by-finite-p-groups/)
- [Robinson’s conjecture on heights of characters](https://scholariq.org/papers/robinson-s-conjecture-on-heights-of-characters/)
- [The inductive blockwise Alperin weight condition for PSL (q) with (n,q − 1)=1](https://scholariq.org/papers/the-inductive-blockwise-alperin-weight-condition-for-psl-q-with-n-q-1-1/)
- [The Inductive Blockwise Alperin Weight Condition for PSp4(q)](https://scholariq.org/papers/the-inductive-blockwise-alperin-weight-condition-for-psp4-q/)
- [Equivariant correspondences and the inductive Alperin weight condition for type $\mathsf A$](https://scholariq.org/papers/equivariant-correspondences-and-the-inductive-alperin-weight-condition-for-type/)

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Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.